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)


help!!! click pic below

Answer 1

Area of equilateral triangle = \[s ^{2}\sqrt{3}/4\] = 6.9282
Area of sector = \[1/6\times \pi \times r ^{2}\] = 50.2654/6 = 8.4275
Area of shaded region = 2(8.4275-6.9282)= 2.9987