Question

In a circular table cover of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in the given figure. Find the area of the design (Shaded region).

Answer 1

Radius (r) of circle = 32 cm

AD is the median of ABC.

AD = 48 cm

In ΔABD,

AB² = AD² + BD²

Area of equilateral triangle,

Area of circle = πr²

Area of design = Area of circle − Area of ΔABC