In an equilateral △ABC of side 14 cm, side BC is the diameter of a semi-circle as shown in the figure. Find the area of the shaded region.
Mensuration
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Question

In an equilateral △ABC of side 14 cm, side BC is the diameter of a semi-circle as shown in the figure. Find the area of the shaded region.

KnowledgeBoat · Accepted Answer

Given, Equilateral triangle side = 14 cm. BC = 14 cm is diameter of semi-circle. ∴ Radius = = 7 cm. Area of shaded region = Area of equilateral △ABC + Area of semi-circle BDC Calculating the area of equilateral triangle ABC, Calculating the area of semi-circle BDC, Area of shaded region = Area of equilateral triangle ABC + Area of semi-circle BDC = 84.868 + 77 = 161.868 cm2. Hence, area of shaded region = 161.868 cm2.

Mathematics

In an equilateral △ABC of side 14 cm, side BC is the diameter of a semi-circle as shown in the figure. Find the area of the shaded region.

Mensuration

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