A square with sides 8 inches in length has a circle inscribed in it. The circle has a radius of 4. What is the area of part of the square not in the circle.

Answers

Answer 1

16π−32

Explanation:  

To get the area inside the circle but outside the square, we simply get the difference of their areas.

Ac=r2π=42π=16πA square is also a rhombus (with equal diagonals), so we can use the formula for the area of the rhombus. What do we use as the value of the diagonal? The diameter of the circle!As=12d1d2=12d2=12(82)=12(64)=32

Hence, A=16π−32 If you think you won't be able to remember the formula of the rhombus, we can go the usual way of getting the area of the square.As=s2Now, we need to find the length of the side. To do this, we can form an imaginary right isosceles triangle with the radius of the circle as legs and the side as the hypotenuse. How do we know the triangle is right? It's a property of a square, the diagonals form a right angle.Now, we use the Pythagorean theorem to get the side,

c2=a2+b2=2a2=2(42)=32⇒c=4√2

Now we can get the area of the square.As

=s2=(4√2)2=32Hence, A=16π−32


Related Questions

7. The United Nations Sustainable Development Goals provide a blueprint for peace and pros- perity for people and the planet. Describe how development of agriculture can contribute to the achievement of some of these goals.

Answers

Answer:

to improve skill and meantaine a agriculture goals and achive of some of these goals

Horizontal variations in air pressure cause a force which makes the wind blow. These pressure variations are caused by a. warm temperatures in the stratosphere b. non-circular shape of Earth c. uneven heating of the Earth's surface d. greenhouse effect e. Earth's rotation

Answers

Answer:

The pressure gradient causes the air to move horizontally, forcing the air directly from a region of high pressure to a region of low pressure. The Coriolis force, however, deflects the direction of the flow of the air (to the right in the Northern Hemisphere) and causes the air to flow parallel to the isobars.

Explanation:

plz mark me as brainlist

hope it HELPS..!!

What continent was part of rodinia and later made up North American Continent?

Answers

Answer:

Rodinia was a Neoproterozoic supercontinent that assembled 1.1–0.9 billion years ago and broke up 750–633 million years ago.

Explanation:

Valentine & Moores 1970 were probably the first to recognise a Precambrian supercontinent, which they named 'Pangaea I'.

Information:

In geology, a supercontinent is the assembly of most or all of Earth's continental blocks or cratons to form a single large landmass. However, some earth scientists use a different definition, "a grouping of formerly dispersed continents", which leaves room for interpretation and is easier to apply to Precambrian times. although at least about 75% of the continental crust then in existence has been proposed as a limit to separate supercontinents from other groupings

Tips:

Neoproterozoic supercontinent

Find the volume of the sphere. Either enter an exact answer in terms of \piπpi or use \dfrac{22}{7} 7 22 ​ start fraction, 22, divided by, 7, end fraction for \piπpi.

Answers

Answer:

1,437.33

Explanation:

Volume of a sphere = 4/3πr³

π = 22/7

r = 7

Volume of a sphere = 4/3πr³

= 4/3 * 22/7 * 7³

= 4/3 * 22/7 * 7 * 7 * 7

= (4 * 22 * 7 * 7 * 7) / (3 * 7)

= 30,184/21

= 1437.3333333333

Volume of a sphere = 1,437.33

In some areas of Texas, rain water quickly moves through layers of rock and is stored naturally underground. The water is then pumped into homes for people to use. What would cause a change in the amount of water available to people in this area

Answers

Answer: climate change

Explanation: less rain means less water for consumption.

19. The Eastern Roman Empire lasted in one form or another until
a. Constantinople was captured by the Ottomans.
b. Charlemagne was crowned Holy Roman Emperor
c. Viking raiders ended it.
d. The Grillat Schism in 1054

Answers

Answer:

A. Constantinople was captured by the Ottomans

Explanation:

Have a good day :)

Because they stretch across 4,500 miles, the __________ Mountains are considered the world’s longest mountain range.

Answers

Answer:

The Andes Mountains

Explanation:

Your search engine can easily solve problems like this :)

What's the Democratic​

Answers

Two major contemporary political parties

Two students designed the experiment shown below to study stream erosion. A steady stream of water flows from a faucet into a tray holding sand and gravel. The water forms a channel by eroding some of the sand and gravel. How can the students increase the amount of sand and gravel being eroded?
A) By increasing the water temperature
B) By adding a bigger load
C) BY increasing the gradient
D) By reducing the amount of discharge

Answers

Answer:

C

Explanation:

THE ANSWER IS C BECAUSE BY INCREASING THE TILT OF THE TRAY, THE WATER FLOWS FAST AND ERODES THE SOIL MORE

An air mass that develops over a body of water near the equator will have
which properties

a .warm and dry
b . cold and dry
c . warm and humid
d . cold and humid

Answers

Answer:

warm and dry

Explanation:

it is because at near the equator there is more of sun ray and get more warm

why is "no poverty" important to the quality of life

Answers

Answer:

No poverty is important because it will reduced deaths caused by water-borne diseases and improved hygiene to reduce health risks related to lack of sanitation limited access to education and other basic services social discrimination and exclusion as well as the lack of participation in decision-making.

Explanation:

Fast please help meee

Why has Switzerland not fought in a war since 1515?

A. It has a fearsome military

B. It claimed neutrality

C. It is allies with almost all other countries

D. No one wants its territory
estion 32​

Answers

Answer:

This policy is self-imposed, permanent, and armed, designed to ensure external security and promote peace. Switzerland has the oldest policy of military neutrality in the world; it has not participated in a foreign war since its neutrality was established by the Treaty of Paris in 1815.

Answer:

The answer is BBBBBBBBBBBBBBBBBBB

Explanation:

Brainloest plz

HELP PLEASE I NEED HELP RIGHT NOW! PLEASE NO LINKS I will give Brainliest to correct answer!

Answers

Answer:The Third Agricultral Revolution

Explanation:

where do earthquake occur​

Answers

Explanation:

Earthquakes occur all the time all over the world, both along plate edges and along faults. Most earthquakes occur along the edge of the oceanic and continental plates. The earth's crust (the outer layer of the planet) is made up of several pieces, called plates.

hope it helps.

stay safe healthy and happy.

Earthquake occur everywhere, nearly everytime, but they are too weak for us to detect, without any device. Plates are always moving. But sometimes it is strong and we can detect it, most earthquakes occur at the edge of plates.

PLS SNSWERR is this!! IM SO SCARED. What bug is this? It’s was on my short

Answers

I think maybe it's ground beetles

Answer:

beetle

Explanation:

i guess

What interesting patterns did you notice between the various stakeholders in relation to the arguments for and against the Keystone XL Pipeline?

Answers

Hello. You did not submit the text to which this question refers, which makes it difficult for it to be answered. However, I will try to help you as best I can.

Keystone XL Pipeline was a pipeline installation project that originated in Canada but extended to the US. The installation of this pipeline was very controversial and spurred people against and in favor of the installation. It was normal that both the people who were against and those who were in favor presented opinion patterns that are opinions that are repeated in each group.

In the group in favor of installing the pipeline, we could see a pattern where people argued that this pipeline would create many jobs, improve countries' economies, and increase the flow of energy and oil in North America. In the group against installation, we could see a pattern, where people claimed that the installation of this pipeline would negatively impact nature and encourage the use of fossil fuels that would stimulate global warming.

All of he following are contributing factors to high death rates in Africa except:

High GDP

Disease

Famine

Poor sanitatio

Answers

Answer:

high GDP

Explanation:

i believe it's the first one

Answer:

Disease, Famine, and Poor Sanitation all are factors to high death rates as they kill people. High GDP, however, is not because high GDP is good, and would mean that the economy is really good.

Therefore, it is high GDP.

Define the term "buffering"​

Answers

Answer:

lessen or moderate the impact of something.

The swiss did not like Austrian Emperors rulling their land. In 1291 , three contons agreed to fight togetherto protect themselves form the emperor . What is a canton ? Whatdid three cantons form

Answers

Answer:

Canton is a subdivision of a country, In 1291 The three cantons form now as central Switzerland

Explanation:

The canton means it is a sub division of a country set up for administration and political purpose.

After 1291 treaty the three cantons Uri, Schwyz, Unterwalden now form a central Switzerland

Answer:

In

, the first cantons became independent of Austria in 1291.

Explanation:

Nane:
Class:
Index:
1) a) Fill in the blanks with the most suitable word. [7 marks].
All substances are made up of small particles, which can be atoms or molecules, that are
constantly (A)
Temperature is the average amount of energy of motion in each
particle of a substance. It is a measure of how (B).
or (C).
a
substance is. Temperature is usually measured with a (D).
It is a thin glass

Answers

Answer:

A. moving

B. hot

C. cold

D. thermometer.

Explanation:

An atom can be defined as the smallest unit comprising of matter that forms all chemical elements. Thus, atoms are basically the building blocks of matters and as such determines or defines the structure of a chemical element.

Generally, atoms are typically made up of three distinct particles and these are protons, neutrons and electrons.

All chemical substances comprises of small particles, which may either be atoms or molecules, that are constantly moving or in a state of motion.

Temperature can be defined as a measure of the degree of coldness or hotness of a physical object. It is measured with a thermometer and its units are Celsius (°C), Kelvin (K) and Fahrenheit (°F).

Generally, the temperature of a body or substance is usually measured with a thermometer. It is a thin glass having a bulb on one of its end and typically contains either colored alcohol or mercury.

Explain how internal migration contributes to the decline of indigenous language

Answers

Answer:

Due to decrease in the population of people who speaks indigenous language.

Explanation:

Internal migration greatly contributes to the decline of indigenous language because the people who speak the indigenous language migrated to other regions and there are very less number of people who speak that indigenous language so we can say that Internal migration is responsible for the decrease of indigenous language. If we have to promote indigenous language so we have to reduce internal migration of people.

Answer is below:

Please mark me brainliest answer

Ipaliwanag ang slogan
"Pagtitipid ay kailangan upang likas na yaman ay mapangalagaan at buhay ay magkaroon ng kaginhawaan"

Answers

i have no idea what this and u will have no idea what this says cuz thas a whole different language

What impact did the triangular trade have on Europe, Africa, and the Americas?

Answers

Answer:

Triangle trade allowed for Europe's economic development in many ways. Trade with Africa and the Americas allowed for increased access to raw goods and the growth of the shipping industry, which in turn led to additional jobs for Europeans.

Answer:

Mercantilism led to the emergence of what's been called the “triangular trade”: a system of exchange in which Europe supplied Africa and the Americas with finished goods, the Americas supplied Europe and Africa with raw materials, and Africa supplied the Americas with enslaved laborers

Explanation:

Why does Calgary receive more precipitation in the summer months?

Answers

Answer:

The elevation changes in mountains and foothills are the "ingredients" needed for thunderstorm development which adds to rainfall totals. Finally, as temperatures rise during June, daytime heating creates early afternoon clouds which can lead to late day showers or thunderstorms.

Asac atlleram is in which city?

Answers

Answer:

salt lake city

Explanation:

ASAC is abbreviated for Administrative Science Association of Canada.

It is a professional body which brings together people who are interested in research and innovations.

It was found in 1957 in the Edmonton, city of Canada.

They have their office at Canada where they gather people who are interested in teaching and management practices.

It provides a platform to people who can exchange their valuable ideas with each other.

Learn more at https://brainly.com/question/21796781

To what extent is it possible to increase agricultural production by the use of modern methods?

Answers

Answer:

The agricultural system is now viewed as community of agro farms.

Explanation:

Modern agriculture started in the late 20th century due to the rising needs and demands of food, by the world population.  

The boost of food production has mainly due to scientific advances and newer technology. That includes the developments of varying crop yields along with the use of the pesticides and the fertilizers. The construction of large irrigation systems.

Some practices like the monocropping application of inorganic fertilizers and intensive tillage. Chemical pest control irrigation techniques. The agriculture is now viewed as an agroecosystem and is developed to produce and promote the viable farming communties

Explanation:

1) know the yield potential

2) utilize the best quality fertilizers

3) use best quality seeds

4) use water sprinkler for irrigation

define stream privacy

Answers

Defined STEM will collect, use, share and retain Student Data only for purposes for which we are authorized by the Educational Institution or teacher

The Gulf Stream is a major ocean current. Where does this current travel, and how does it affect climate conditions in Europe?

Answers

It travels from the Gulf of Mexico and brings warm water to the Atlantic Ocean up the east coast of the us

Answer: It travels from the Gulf of Mexico and brings warm water to the Atlantic Ocean up the east coast of the us

Explanation:

suggest reasons for the changes in production over these years?

Answers

Answer: New and improved technology

Explanation: With more development tools we can significantly decrease manual labor which then causes us to increase our production time. As we improve this technology we are able to shift to more commercial production producing more for our larger population rather than simply for oneself and or their family

Hope this helps

Air masses move from areas with high pressure (such as the poles of the Earth) to areas with low pressure (the equator). The temperature and moisture of an air mass depend on where it is formed. A maritime tropical air mass is _______ and _______.

Answers

Answer:

Warm and moist.

Explanation:

Airmass is a large body of air it covers hundreds of meters. It moves due to global air circulation. It changes the weather, temperatures, and humidity of the air. Also creates weather disturbances. A maritime tropical air mass forms near the poles and is a mass of warm, moist, and unstable air. It originates in subtropics of the pacific ocean.

Answer: Warm and moist.

Explanation:

Other Questions
32. What argument do critics of affirmative action often make?Affirmative action is a form of gender discrimination.Affirmative action supports the majority.Affirmative action discriminates against minority groups.Affirmative action goes against the Constitution. Which transformation will always map a parallelogram onto itself?OAa 90 rotation about its centerB.a reflection across one of its diagonals.a 180 rotation about its centerOD.a reflection across a line jolning the midpoints of opposite sides hi! ill give brainliest please help Answered like a jokePlease help The box-and-whisker plot shown displays the number of hours 20 student athletes spend exercising during the week.Which number best describes the range of the data in the box-and-whisker plot?A. 25B. 15C. 10 25% of all the cakes a baker makes are fruit cakes. The baker made 5 fruit cakes. What is the total number of cakes the baker made? can someone help me solve this question? asap The 2008 Obama presidential campaign used a sophisticated website and dozens of social networking sites to connect with potential donors. Which of the following was NOT a result of this strategy?A. The Obama campaign no longer had to use television advertising, which is more expensive than Internet advertising.B. More than 3 million individuals donated to the campaign. C. The campaign raised more than $750 million, which is more than all previous campaigns. D. Obama raised more than twice as much money as his Republican rival, John McCain. Brian and his friend Tom had a lemonade stand. They spent $40 on supplies. They sold $160 of lemonade in 5 hours. If the boys split the money left over evenly, how much money did Brian make each hour? Lee y escoge la opcin con el verbo conjugado correctamente para completar la frase. Read and choose the option with the correctly conjugated verb to complete the sentence.Liliana, veo aqu una solicitud para una persona que ________ del espaol al nhuatl. Puedes hacerlo. 18. Describe two strategies that can help you make better use of the revision stage of the writing process Where would (2,-4) be on the coordinate plane? I need help with Spanish plz. Fill in the blanks. Particles that attract each other areA. two electrons.B. two protons.C. one proton and one electron.D. one proton and one neutron. A 75 kg refrigerator is located on the 70th floor of skyscraper (300 meters above ground). What is the potential energy of the refrigerator. (PE=MGH(G=9.8M/S) for making angles which tool is used I WILL GIVE BRAINLIEST! Anybody have a Spice-T chart for AP World History Empires/states? Im just finishing up studying and want to make sure I have all my connections right! How does the carbon in grass become part of a lion? Answer the following question in 3-4 complete sentences.What does the image above show? What would be its purpose in animation? An Abyssal Plain is similar tocontinental shelfthe Grand Canyonthe Great PlainsHidden Valley