The measure of XYZ is 45. The length of radius YZ is 6 inches. What is the area of sector XYZ?

(Use 3.14 for I.)

area of a sector = 14.13 yards²

Step-by-step explanation:

XYZ is a sector of a circle. The radius YZ is 6 inches. The angle of the sector is given as 45°. The area of the sector can be solved as follows.

area of a sector = ∅/360 * πr²

where

r = radius

∅ = center angle

r = 6 inches

∅ = 45°

area of a sector = 45/360 * 3.14 * 6²

area of a sector = 45/360 * 3.14 * 36

area of a sector = 45/360 * 113.04

area of sector = 1/8 * 113.04

area of a sector = 14.13 yards²