Question

The figure shows three circles drawn with their centres on each vertex of an equilateral triangle and passing through the other two vertices;

Find the area of the region common to all three.

Answer 1

The area of the common part = Area of three sectors – 2 × area of an equilateral triangle having side 2 cm

= 2 × 3.14 – 2 × 1.73

= 6.28 – 3.46

= 2.82 cm²

The area of the region common to all three = 2.82 cm²