Find the area of the shaded portion of the semicircular f...
Find the area of the shaded portion of the semicircular figure.
A.
r24(4π−3√3)
B.
r24(2π−3√3)
C.
12r2π
D.
18r2√3
E.
r24(4π−3√3)
Correct answer is B
Asector = 60360×πr2
= 16πr2
A△ = 12r2sin60o
12r2×√32=r2√34
Ashaded portion = Asector -
A△
= (16πr2−r2√34)3
= πr22−3r2√34
= r24(2π−3√3)
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