Question

Find the area of the shaded portion in the equilateral triangle with sides 6.
(assuming the central point of each arc is its corresponding vertex)

Answer 1

The shaded region is the area of a triangle minus three circular sectors

Answer 2

We know the triangle is equilateral - so all the angles are 60°

Answer 3

\[3^2+h^2=6^2\\h=\sqrt{6^2-3^2}\]