Question

Does anyone know the correct answer?

Answer 1

Hello from MrBillDoesMath!

Answer:

Choice B.

Discussion:

Today is your lucky day because I know the answer ! );

A circle has 360 degrees. A circle also has an area of Pi * r^2

The arc shown, 120 degrees, is 1/3 of a circle, so the area of the sector is 1/3 the area of the full circle. In other words, the area of the sector is

(1/3) ( Pi * r^2) =

(1/3) ( Pi * 6^2) =

(1/3) ( 36 *Pi ) =

12 Pi

That's Choice B

Thank you,

MrB

Answer 2

B 12 pi m^2

Explanation:

The area of the circle is pi r^2

We know the radius is 6

A = pi (6)^2 = 36 pi

The sector is 120 degrees. The entire circle is 360 degrees.

The fraction is 120/360 = 1/3

The sector covers 1/3 of the circle so it is 1/3 of the area

1/3 A = 1/3 (36 pi) = 12 pi