Question

The measure of central angle XYZ is 1.25 radians.

Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is 8. The major angle of X Y Z is shaded.

What is the area of the shaded sector?

10 units2

20 units2
40 units2
80 units2

Answer 1

Area of a sector (radians) = (1/2) r^2 θ. Here r = 8 and θ = 1.25, so

Area = (1/2)(8^2)(1.25) = 32·1.25 = 40.

Answer: 40 units^2.