Question

pleeeeeeeeeeeease hellllllllp meeeeeee the circle has a center of 0.its raduis is 3 cm,and the central angle A measures 100.what is the area of the shaded region? give exact anwsers in term of pi .please hurry dont worry I have permission to post this for anybody who decides to report me again

Answer 1

2.5 pi

Explanation:

Comment

If you were trying to get the area of a whole circle, you would use

Area = pi r^2

You have to modify the formula to show that just part of the circle has an area that you are interested in.

The new formula is

Area = (theta/360) pi r^2

Givens

r = 30 cm

theta = 100

Solution

Area = (100 / 360) * pi * r^2 Substitute the givens into this formula

Area = (5 / 18) * pi * 3^2 Expand

Area = (5 / 18) * pi * 9 Cancel 9 into 18

Area = 5/2 * pi

Area = 2.5 * pi