[Math] Find the area of the shaded region in the figure

areatrigonometry

Find the area of the shaded region in the figure

What steps should I do? I tried following the steps listed here https://answers.yahoo.com/question/index?qid=20100305030526AAef8nZ

But I got 150.7 which is wrong.

Best Answer

Hint: Break the shaded region up into two shapes. One is a portion of the circle (you know the portion because of the given angle), and the other is a triangle (which is equilateral). Find the area of each shape and then add them.