Question

Which is an expression in square units that represents the area of the shaded segment of center ofOC

A: 1/4 r^2(3.14-4)
B: 1/4pier^2
C: 1/4pier^2-2r^2
D: 1/2r^2(1/2pie-1)

Answer 1

9514 1404 393

Answer:

D

Explanation:

The formula for the area of a segment is ...

A = 1/2r²(θ -sin(θ))

for radius r and central angle θ.

Here, we have θ = π/2, so this becomes ...

A = 1/2r²(π/2 -1) . . . . . matches choice D