Find the area of the shaded portion of an equilateral triangle with s…

Question

Find the area of the shaded portion of an equilateral triangle with sides 6 units shown in the following figure. A circle of radius 1 unit is centred at midpoint of a side of the triangle.

Accepted Answer

Option A. 1/2 ( 9 3 - 117 ) uni t^2. Answer & Solution Answer: Option A Solution: & Area of half = 1/2 ( 3 4a^2 ) & = 1/2 × 3 4 × 6 × 6 & = 9 3 2 & Area of shaded region & 9 3 2 - 90360 r^2 & = 9 3 2 - 1/4 × 227 × 1 × 1 & = 9 3 2 - 112 × 7 & = 1/2 ( 9 3 - 117 ) c m^2