Question

Rajeet’s pumpkin pie is 10 inches in diameter. His family eats five out of the eight slices of pie, forming an angle of 225°. What area of the pie that was eaten?(1 point)
Responses

A=15.625π in.2
upper A equals 15.625 pi in. squared

A=9.375π in.2
upper A equals 9.375 pi in. squared

A=25π in.2
upper A equals 25 pi in. squared

A=37.5π in.2
upper A equals 37.5 pi in. squared

Answer 1

Radius = 10/2 = 5, so full area = π(5)^2 = 25π.
Eaten fraction = 225/360 = 5/8, so eaten area = (5/8)·25π = 125/8 π = 15.625π in.^2.

Answer: A = 15.625π in.^2.