Question

An equilateral triangle is inscribed in a circle with a radius of 6". Find the area of the segment cut off by one side of the triangle.

Answer 1

C is the centre of circle
you need to find the area of the sector and area of the triangle and subtract to give area of segment

Answer 2

area of the sector is 0.5*6^2 * angle between radii
area of triangle = 0.5*6^2 sin of the above angle

Answer 3

since the triangle is equilateral the two small angles above will be 30 so angle at centre will be 120 degrees or 2pi/3 radians
use radians in above calculations