Express answer in exact form.

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 √3.)

help me i got 9/6pi - 3/4 sqrt4

Question

Express answer in exact form.

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 √3.)

help me i got 9/6pi - 3/4 sqrt4

anonymous · Answer

it is area of the sector- area of the triangle.
if thats what you did, then your answer is correct

anonymous · Answer

since it is a hexagon, the angle of the sector is 60 degrees.
use that to calculate area of the sector.
use the formula given to find the area of the triangle.
note that the radius of the circle is also 3