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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)

Which is an expression in square units that represents the area of the shaded segment of center ofOC A 14 r23144 B 14pier2 C 14pier22r2 D 12r212pie1 class=

Respuesta :

sqdancefan

9514 1404 393

Answer:

  D

Step-by-step 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