Question

In fig ABCDEF is any regular hexagon with different vertices A, B, C, D, E
and F as the centers of circle with same radius 'r' are drawn. Find the area of the
shaded portion.​

Answer 1

Answer:

Let number of sides of a regular polygen is n

∴n× each angle = (n − 2)×180°

For regular hexagon n = 6

∴6× each angle = 4×180°

each angle =120°

Area of 6 shaded regions

6×120/360×pie R2= 2pie R2