In the diagram, O is the centre of the circle and PQ is a...
In the diagram, O is the centre of the circle and PQ is a diameter. Triangle RSO is an equilateral triangle of side 4cm. Find the area of the shaded region
43.36cm2
32.072
18.212
6.932
Correct answer is C
Area of shaded portion = Area of semicircle
Area of △ RSO
Area of semicircle = πr22=22×4×47×2
= 25.14cm2; Area of △RSO
=√s(s−1)(s−b)(s−c); where
s = a+b+c2
s = 4+4+42
= 6cm
= √6(6−4)(6−4)(6−4)
= √6(2)(2)(2)
= √18 = 6.93cm2
Area of shaded region
= 25.14 - 6.93
= 18.21cm2
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