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) https://media.glynlyon.com/g_geo_2012/8/groupi56.gif

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) https://media.glynlyon.com/g_geo_2012/8/groupi56.gif

directrix · Answer

The 3 sectors are congruent and together have the area of a semi-circle of radius 3.
After you calculate that, then subtract that area from the area of the equilateral triangle of side 6. That difference will be the area of the shaded region.