Question

Find the area of the blue sector of the circle. Round to the nearest hundredth.
A)4.19 cm2
B)6.22 cm2
C)8.31 cm2
D)9.67 cm2

Answer 1

120 degrees of a circle is what proportion of the entire thing?

Answer 2

AREA OF THE ENTIRE CIRCLE IS 4 PI

120/360 * 4 pi = 4/3 pi

Answer 3

A)4.19 cm2

Answer 4

The area of a sector is given by \[A=\frac{1}{2}\theta r^2\], where \(\theta\) is the size of the angle in radians. What is the value of \(\theta\) first of all?

Answer 5

= 1/3 of pi*2^2

Answer 6

= 4.19

Answer 7

you don't have to find it in radians. You find the ratio of the angle to the circle, which is the same ratio of the area of the sector as the entire circle