Sometimes we need to find the area of a circle and sometimes we need to find the circumference. Write at least three real-world situations for each. Explain what measurements would need to be made in each situation and how area or circumference would be found.

Answers

Answer 1
One situation would be a round flowerbed. The edge would have bricks around it, and you’d need the circumference for that. You’d measure the diameter of the circle, and multiply that by pi.
Circumference = (pi)(diameter)

A first for area is the same flowerbed but filling it in with mulch around the flowers. For that, you’d take 1/2 the diameter to find the radius. Area = (pi)(radius)^2

A second for circumference is measuring a distance traveled by a wheel. If you needed to measure distance from one point to the next, and you know you have a 16 inch wheel, you can measure how many rotations of that will go from point A to point B. Calculate the circumference, multiply that by how many toes the wheel rotated for that distance, and you know how far you traveled.

A second for area is figuring out how much cake batter you would put in a round cake pan. If you have a 9 inch cake pan, the radius is 4.5 inches. Area = (pi)(4.5)(4.5)

A third for circumference is to figure out how much curb material you would use to pave the edge of a dead-end street. It might only be a 1/2 circle, but then you calculate the circumference and divide by half.

A third for area is calculating the area of a pizza. Most restaurants tell you how many inches the pizza is, which is the diameter. Divide that in half and calculate the area.

Do this last one with friends and say that whoever calculates the area first doesn’t have to pay for their share of the pizza. (No one would really do that, but it might make your math teacher smile)


Related Questions

You spin the spinner and flip a coin. Find the probability of the compound event.
t
The probability of not spinning a 5 and flipping heads is

Answers

Answer:

3

Step-by-step explanation:

6 × 3 − (4 × 3) + 16 ÷ 4 = 11

Answers

Answer:

2

Step-by-step explanation:

6x3 = 18

4x3 = 12

18 - 12 = 6

16 / 4 = 4

6 - 4 = 2

Can you help me pls? m 3n at m = 8, n = 2 ( pls show work)

Answers

Answer:

48

Step-by-step explanation:

I'm assuming it's just multiplication with given info

m3n = (8)3(2) = 24(2) = 48

need help please and thank you?!

Answers

Answer:

3. 50.27 inches squared

4. 113.1 km squared

Step-by-step explanation:

3. A=πr^2

π*16

4. A=πr^2

π*36

Have a good day :)

Answer:

1)50.3

2) 113

Step-by-step explanation:

I hope this helps!

OK PLEASE HELP THIS IS DUE TONIGHT PLEASE HELPPPPP
A sign in a bakery shows 50 cupcakes for $129. What is the unit price to the nearest cent?
A 2.58 per cupcake
B 1.29 per cupcake
C 0.64 per cupcake
D 0.39 per cupcake

Answers

The answer is b. Abuse
The answer is A I did the math

i need this fast please help me

Answers

Step-by-step explanation:

C. y= -5x + 27

D. y=2x - 15

thats all

Answer:

I believe the answer is C) and D)

Find the surface area
of the figure below:


HELP ASAP!!! PLZZZ

Answers

I’m pretty sure it’s 320 because I got the area of each side

Answer:

320 cm squared

Step-by-step explanation:

A=2(wl+hl+hw)

2 × (12 × 4 +7 × 4+ 7 × 12)

Have a good day :)

George bought a watch on sale for 50% off the original price and another 50% off the discounted price. If the watch originally costs $70, what was the final sale price that George paid for the watch?

Answers

Answer:

$17.50

Step-by-step explanation:

(70/2)/2

HELP PLZZZ

no links plzzz

Answers

Answer:

Answer choice #2

helpp asap no links or report

Answers

Answer:

x=10.4

Step-by-step explanation:

well 20*5=what? 20*5=100 but then x would have to be a decimal. not a tough one though.

10*x (x being 10) 10*10 would be 100 but then you would have to subtract 4 from it. it's easy. 10 *10.4 is 104.

x would = 10.4 to get this result

Solve for x. (Only enter the numerical value.)
(7x + 3)
(10x - 24)

Answers

Answer:

=70x^2-138x-72

Step-by-step explanation:

attached is the work in foil method

Mhanifa please help. Look at the picture attached. I will mark brainliest

Answers

Answer:

#1tangent = opposite leg / adjacent legtan ∠F = DE/ EFtan ∠F = 24/7

Option D

#2

Sine and cosine are same for complementary angles.

Complementary of 67° is 90° - 67° = 23°.sine 67° = cosine 23°

Does the y and x in y=2x+3 show a direct variation, a inverse variation, or neither?

Answers

Answer:

Direct variation

Step-by-step explanation:

Direct variation:y=kx

Inverse variation: y=k*1/x

can i please have help with this im confused help!!!!

Answers

A would be the correct answer for this q

Answer:

A

Step-by-step explanation:

And H=13 bc 7+13=20

Also I love your pfp!!:)

el punto (4, -3) esta sobre el lado terminal del angulo 0 en posicion normal. hallar el valor de las seis razones trigonometricas de ese angulo

Answers

Answer:

Para un punto (x, y), el angulo generado entre el eje x y un rayo que conecta el origen de coordenadas con el punto es tal que:

Tan(θ) = y/x

Cos(θ) = x/(√(x^2 + y^2))

Sin(θ) = y/(√(x^2 + y^2))

Y las otras 3 relaciones trigonometricas son las inversas de las de arriba, entonces:

Ctg(θ) = x/y

Sec(θ) = √(x^2 + y^2)/x

Csc(θ) = √(x^2 + y^2)/y

En este caso tenemos el punto (4, -3), es decir:

x = 4

y = -3

Solo tenemos que reemplazar esos dos valores en las seis ecuaciones de arriba:

Tan(θ) = -3/4

Cos(θ) = 4/(√(4^2 + (-3)^2)) = 4/5

Sin(θ) = -3/(√(4^2 + (-3)^2)) = -3/5

Ctg(θ) = 4/(-3) = -4/3

Sec(θ) =  √(4^2 + (-3)^2)/4 = 5/4

Csc(θ) = √(4^2 + (-3)^2)/-3 = 5/-3 = -5/3

Landons friends dared him to go check out the haunted house around the corner. When he gets there, he hears creepy laughter coming from a window, so he decides to run home.

How far would he have to run if he cut through the park?

A) 10m
B) 100m
C) 14m
D) 9m

Answers

The answer is (D) 9m





Factor 4x^2 + 1x – 13

Answers

Answer:

[tex](x - \frac{\sqrt{209} - 1}{8} )(x - \frac{-1 - \sqrt{209} }{8} )[/tex]

Step-by-step explanation:

FACTS TO KNOW BEFORE SOLVING :-

Quadratic Formula :-

Lets say , there's an equation ax² + bx + c.

[tex]=> x = \frac{-b + \sqrt{b^2 - 4ac} }{2a} \: or \: \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]

SOLUTION :-

According to the question ,

a (Coefficient of x²) = 4b (Coefficient of x) = 1c (constant) = -13

By using quadratic formula ,

[tex]x = \frac{-1 + \sqrt{1^2 - 4 \times 4 \times (-13)} }{2 \times 4} \: or \: \frac{-1 - \sqrt{1^2 - 4 \times 4 \times (-13)} }{2 \times 4}[/tex]

[tex]=> x = \frac{-1 + \sqrt{209} }{8} \: or \: \frac{-1 - \sqrt{209} }{8}[/tex]

[tex]=> (x - \frac{\sqrt{209} - 1}{8} ) \: and \: (x - \frac{-1 - \sqrt{209} }{8} )[/tex] are the factors of 4x² + x - 13.

Out of 60 people surveyed 42 respond yes to the server question what is the relative frequency of yes responses

Answers

Answer: 7/10

Step-by-step explanation:

Number of people surveyed = 60

Number of people who responded Yes = 42

The relative frequency will be the fraction of those who responded yes divided by the total people surveyed. This will be:

= 42/60

= 7/10.

The relative frequency is 7/10.

Help! I am stuck and can’t find this anywhere!

Answers

Answer:

option B

Step-by-step explanation:

Any number exponent 0.5 is a root of itself

The answer is option B

GEOMETRY/EASY 10 POINTS
WHATS THE AREA OF THE SECTOR?
GOD BLESS U

Answers

Answer:

[tex]Area \ of \ sector = \pi r^2 \frac{\theta}{360} = \pi \times 5 \times 5 \times \ \frac{75}{360} = 16.35 = 16.4yd^2[/tex]

option 2

The diameter of a circle is 46 yards. What is the circle's circumference? d=46 yd Use 3.14 for n.​

Answers

Answer:

144.44 yards

Step-by-step explanation:

The formula to find circumference is: C = π · d

Since we already have most of the factors figured out, we just replace them with what we have.

C = 3.14 · 46 yrds

144.44 = 3.14 · 46

A table of values, rounded to the nearest hundredth, for the function

Answers

Answer:

Omggg twins I'm doing the Iready too:> Anyway I had that question and I selected 1.62

The average rate of change of function [tex]y= \sqrt[3\\]{x}[/tex] over interval [2,7] to rounding to nearest hundredth is 0.13

The Correct option is (b)

What average function?

The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing.

i.e.,  [tex]\frac{f(b)- f(a)}{b-a}[/tex]

It  has been asked in the question the average rate of function over interval [2,7].

The values are given in the table.

So, the rate of change of f(x) on interval [a, b] = [tex]\frac{f(b)- f(a)}{b-a}[/tex]

we have, a=2 and b=7

Thus, [tex]\frac{f(b)- f(a)}{b-a}[/tex] =  [tex]\frac{\sqrt[3]{7} -\sqrt[3]{2} }{7-2} {[/tex]

                       =[tex]-\frac{\sqrt[3]{2} }{5}+\frac{\sqrt[3]{7} }{5}[/tex]

                       =0.1306

                       ≈ 0.13 (rounding off nearest hundredth)

Learn more about average  rate of change of function here:

https://brainly.com/question/16023603

#SPJ2

There verticles of a rectangle are shown on the grid what are the coordinates of the missing vertex 3,5,6

Help it's 100 points

Answers

Answer:

5,6

Step-by-step explanation:

Since,

It's a rectangle so it will be formed on the coordinate which is 3units above dot(3,5) in picture where above the dot there is no point .

What is the graph for y = 4x² + 8x - 1​

Answers

I believe this is the answer
Hopes this helps:

Answer:

The price of an Android phone
increased from $250 to $300. By what
percentage was the price of the
phone increased? Pick the answer below.
F 20%
H 40%
G 30%
J 50%
F
G
H
J

Answers

Answer:

F 20%

Step-by-step explanation:

A group of friends wants to go to the amusement park. They have no more than $200 to spend on parking and admission. Parking is $11.50, and tickets cost $36.25 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.

Answers

Answer:

36.25x + 11.50 ≤ 200

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

The government of an entity invested resources in the purchase of 40
tractors and spent $ 100,000.00 on poetry books for schools.
In another state, the government bought 20 tractors and spent $ 800,000.00
in reading books. If both governments invested the same amount of
money and the price of each tractor was the same, how much did each
tractor?_______________________

Answers

Answer: the amount of each tractor should have been 15000

Step-by-step explanation:

sorry if wrong pls don’t be mad

There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what sea is in simplest radical form

Answers

Answer:

C = 18

Step-by-step explanation:

There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what is C is in simplest radical form

Solution:

A triangle is a shape with three sides and three angles. Types of triangle are right angled, isosceles, scalene, obtuse, acute.

The length of the side in a triangle is directly proportional to the opposite angle (angle facing the side).

A right angled triangle is a triangle with one angle equals to 90 degrees.

Since the shortest line is 9, the angle facing the shortest line is the smallest angle. The longest line is the hypotenuse which is given as C. Trigonometric identities shows the relationship between the sides of a triangle and its angles, hence:

sin30 = 9 / C

0.5 = 9 / C

C = 9/0.5

C = 18

Round your answer to the nearest tenth. Use the trig ratios to solve for x.

Answers

Answer:

the value of x is 7.5

Step-by-step explanation:

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer:

This factors out to be

4(2x+5)(2x+5)

GCF is 4.

This equals 4x^2 +20x+25

[tex]\sqrt{4} \\[/tex]=2

[tex]\sqrt{100}[/tex]=10

Therefore these will be the boxes:

Blank 1: 4

Blank 2: 2

Blank 3: 10

Something that can help you with these types of problems is the "Factoring Calculator by MathPapa" Which I will not put here but can be found by searching that on an engine.

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