2012-06-06 09:00:12

An equilateral triangle has a perimeter equal to the circumference of a circle with a radius of 3. What is the length of one side of the triangle?

(A) 2
(B) 6
(C) 2π
(D) 3π
(E) 6π

The correct choice is C

Explanation: Start by finding the circumference of the circle. Circumference is calculated by multiplying the radius of a circle by 2π, so the circumference of this circle is 3(2π), or 6π. The perimeter of a triangle is the sum of all three sides, and since this triangle is an equilateral one, all sides will be equal. Thus, one side of the triangle will be 1/3 of the perimeter, and, since 6π/3 is 2π, the answer is C.