The logo for a school is an equilateral triangle inscribed inside a circle. the seniors are painting the logo on an outside wall of the school. the radius of the circle will be 6 feet. find the area of the triangle.

Try to do this on paper and follow my instructions:

Draw lines from the corner of the triangle towards the center of the circle. These will each have a length of 6'.

Now draw a line bisector from the center perpendicular to the sides of the triangle. Now you have 6 triangles of 30-60-90 degree angles.

Each 6 triangle has similar shape as half an equilateral triangle with side ratios of 1::2. In our case the hypotenuse is 6, so the ratio is 3:3:6.

The area of each triangle is:

A = (3*3)/2

So for all 6 it will be

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