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 1/4 s2 squared 3

Question

27 May, 00:43

+4

Answers (1)

Know the Answer?

Karla Sloan · Answer 1

The chord length is the same as the radius, so R^2 = 9.

Area = (1/2) (9) (pi/3 - sqrt (3) / 2) = (3/4) (2 pi - 3 sqrt (3))

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 1/4 s2 squared 3