SAT College

В.
In the figure above, O is the center of the circle and
AC and BD are diameters of the circle. The
measure of ZAOB is twice the measure of ZBOC,
and the radius of the circle is 3. What is the area of
the shaded region?

.In The Figure Above, O Is The Center Of The Circle AndAC And BD Are Diameters Of The Circle. Themeasure

Answers

Answer 1

Answer:

D). [tex] \frac{3}{2} \pi\: units^2 [/tex]

Explanation:

Let the [tex] m\angle BOC = x\degree [/tex]

[tex] \therefore m\angle AOB = 2x\degree[/tex]

[tex] \because m\angle AOB+m\angle BOC = 180\degree\\..(straight \: line \: \angle 's) \\

\therefore 2x + x = 180\degree \\

\therefore 3x = 180\degree \\\\

\therefore x = \frac{180\degree}{3}\\\\

\therefore x = 60\degree \\

\therefore 2x= 2\times 60\degree = 120\degree \\

\implies m\angle BOC = 60\degree \\

\therefore central \: \angle \: (\theta) = 60\degree \\

Radius\: of \:circle \: (r) = 3\: units \\\\

Area \: of\: shaded \: region\\\\ = \frac{\theta}{360\degree}\times \pi r^2 \\\\

= \frac{60\degree}{360\degree}\times \pi \times 3^2 \\\\

= \frac{1 }{6}\times \pi \times 9 \\\\

= \frac{1 }{2}\times \pi \times 3 \\\\

\huge \purple {\boxed {= \frac{3}{2} \pi\: units^2}} \\\\

[/tex]

Related Questions

If |2x - 2| > 2, what is the range of x?
a. x -4 b. x≤0 or x ≥2 c. x≤2 or x ≥-2 d. x 2 e. x 2

Answers

Answer:

B is the answer

X < = 0 or x > =2

Explanation:

2x -2 >= 2 or 2x-2 < = - 2

2x > =4 Or 2x < = 0

X > =2. Or x < = 0

Need Assistance With This​

Answers

Answer:

7

Explanation:

23 - (9 - 5)^2 = 23 - 4^2 = 23 - 16 = 7


A letter grade of a B+ average in a regular class counts for how many points?
A. 3.67
B. 3.33
C. 3.0
D. 3.66

Answers

The answer is 3.33 hope that will help!!!

A letter grade of a B+ average in a regular class counts is 3.33.

What is Class counts?

In the United States, academic grading typically takes the form of five, six, or seven letter grades. With A+ being the highest and F being the lowest, the traditional grades.

Grades may occasionally also be numerical. Conversions from numerical to letter grades typically differ between systems, fields, and status.

A D is often the lowest passing grade in elementary and secondary schools. The usual rule is that anything below a 60% or 70% is failing, depending on the grading scheme, although there are certain schools that view a C as the lowest passing mark.

Therefore, A letter grade of a B+ average in a regular class counts is 3.33.

To learn more about Letter grade, refer to the link:

https://brainly.com/question/1899987

#SPJ5

Other Questions
Which person is most likely to cause a pandemic? one who had a cold and stayed at home one who was sick with the flu and flew to multiple countries one who had diabetes and continued to eat fatty foods one who washed hands frequently and got vaccinations In some symbiotic relationships,one organism may benefit. Whathappens to the other organism?A. The other organism benefits as well.B. The organism is either helped or harmed.C. The organism is harmed, then does harm tothe other organism. Can someone help ill mark brainliest. Based on the information and images from the articles, fill in the following chart about why New Orleans was so badly damaged compared to the other communities in the Gulf region. The practices and beliefs of the founding generation establish that the freedom of speech,' as originallyunderstood, does not include a right to speak to minors (or a right of minors to access speech) without goingthrough the minors' parents of guardians.Which statement from the article "Free Speech Versus Violent Video Games" best supports Thomas's belief that theCalifornia law does NOT violate a freedom of speech under the U.S. Constitution?A) "...video games - which the Entertainment Software Association says are played in 68 percent of American households --- areprotected forms of expression under the First Amendment to the Constitution."B) The proposed California video law "does not ban parents from purchasing or buying the video games for their children."C) The Federal Trade Commission studies suggest that the video game industry's rating system was not effective in blocking minorsfrom purchasing games designed for adults."D) "The video game industry also argues that approval of California's video game restrictions could open the door for states to limitminor's access to other material on the grounds of protecting children." In this activity, you will write a mock news account of the events at Lexington during the American Revolution. This report should be about 300 words. You can research online or at your schools library for additional information. if a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?(ab))O (a - b)^)O (a + b)(x) Select all the correct answers.Which three pieces of information contribute the most to your credit score?the number of bank accounts you havethe amount of debt you haveyour payment historyyour ability to make a down payment on a credit purchasethe number of loans you haveW Name the 2 fractions of petroleum which are used as fuel. Explain. Obama drives up miles-per-gallon requirements Emissions from all new vehicles must be cut from 354 grams to 250 grams. To meet this new standard, the price of a new vehicle will rise by $1,300. Source: USA Today, May 20, 2009 What is the opportunity cost of reducing the emission level by 1 gram? Which step of the decision-making process comes first when selecting healthcare service? Identify alternatives to the healthcare service. Identify the healthcare service decision to be made. Gather information about the healthcare service. Make a decision as to which healthcare service to use. Unidirectional current is referred to as _____. direct current indirect current alternating current electric charge Write a linear equation that represents the arithmetic sequence 10, 8, 6, 4, ...A. an = 10 - 2(n-1)B. an = 10 + 2(n + 1)C. an = 2 + 10(n-1)D. an = 10 + 2(n-1) how does a TV'S screen work why do authors reference similar stories? A: To use the same exciting settings and characters. B: To lightly mock the original, more primitive story. C. To translate ancient texts into modern languages. D: To make a better connection with the audience A mother has blood type A and her son has blood type o. Which blood types are possible for the father?A.) OB.) ABC.) BD.) At what geographical location would the boiling point of water be lowest?A. Boston, MassachusettsB. The coast of the Atlantic OceanC. The Dead SeaD. The top of Mount Everest Find the area of the composite shape... Write each answer in polynomial in simplest form The cost of 12 gallons of gas is represented by 12x, and the cost of a quart of oil is represented by 2x - 30.Represent the cost of 12 gallons of gas and a quart of oil. Which statement BEST describes John Lockes argument against the divine right of kings theory of government? A. Kings cannot have divine right because they are not officially part of the church. B. There is no scientific evidence supporting the existence of a divine right of kings. C. Divine right can only be claimed by those who afford basic rights to the people they rule. D. While kings have a divine right to rule, they are responsible for providing basic rights to their subjects.