Question

A circle has a radius of 6 in. The circumscribed equilateral triangle will have an area of:

Answer 1

Draw a circle and locate three points on the circumference equal to 0 degrees, 120 degrees and 240 degrees. 
draw a line from the 0 degree point to the 120 degree point, 
draw a line from the 120 degree point to the 240 degree point. 
draw a line from the 240 degree point to the 0 degree point 

You have now drawn the equilateral triangle and finding the length of the chord formed by any of the sides you will have the length of each of the three sides 
The area is then = (L^2 x 3^0.5)/4 = 0.4333 x L^2, where L is the length of one of the sides.gatorbait · 5 years ago