A circle is circumscribed about an equilateral triangle with side lengths of 9 units each. What is the area of the circle, in square units? Express your answer in terms of pi.

bbelt711
Jul 26, 2017

#1**+2 **

Equilateral triangle radius of circumcircle = \(\frac{s}{\sqrt{3}}\)

Which means \(r = 3\sqrt{3}\)

Area of a circle is Pi*r^2

Substitute to get \(\Pi ({3\sqrt{3})}^2\)

Which is equal to \(27\Pi\)

The area of the circumcircle is \(27\Pi -units^2\)

Mathhemathh
Jul 26, 2017