Question

Express answer in exact form. Show all work for full credit. A regular hexagon with sides of 3" is inscribed in a circle. Find the area of a segment formed by a side of the hexagon and the circle. (Hint: remember Corollary 1--the area of an equilateral triangle is .)

Answer 1

A - area of a segment formed by a side of the hexagon and the circle
A = {area of a sector of a circle} - {area of an equilateral triangle}

https://tex.z-dn.net/?f=A%3D+%5Cfrac%7Br%5E2%5Cpi%5Calpha%7D%7B360%5Eo%7D+-+%5Cfrac%7Br%5E2%5Csqrt%7...