Question

-25 Points-
Find the area of the LARGER sector.
Leave your answer in terms of pi.

Answer 1

33 pi

Explanation:

Area of the larger sector = Area of the circle - Area of the smaller sector

Area of the circle = (6)^2 pi = 36 pi

Area of the smaller sector = 1/2 × (6)^2 × theta....,where theta has to be in radians

30° = pi/6

Area of the smaller sector = 1/2 × 36 × pi/6

= 3 pi

Area of the larger sector = 36 pi - 3 pi

Area = 33 pi