Question

The area of an equilateral triangle is 17300 cm² . Draw circles with radius half the length of one side of the triangle and vertices as the centre of the circle. Calculate the area of the shaded portion.

Answer 1

Area of the equilateral triangle

One side = 200 cm,

Radius of the circle = 100 cm

Central angle of each sector = 60°

Area of one sector = \(\frac{\pi r^2\times60^\circ}{360 }\)

Area of the three sectors