# Solution - April Newsletter Problem

/**The problem:** Is the blue area or the orange area larger?

Use your knowledge of geometry to try to figure this one out before you look at the solution from Hirofumi.

Additionally, when prompted to "explain the part about why the radius of the larger circle is twice as large as the smaller circle" Hirofumi added this:

"The radius of the larger circle is twice as large as the smaller circle because the center of the 2 circles lies on the centroid of the triangle. Because the triangle is equilateral, the centroid is equidistant from each vertex. As a principle of a triangle, the ratio of a distance between a vertex and the centroid of a triangle to a distance between the opposite midpoint of the triangle and the centroid is 2:1. The radius of the larger circle can be thought as the distance between a vertex and the centroid of the triangle, and the radius of the smaller circle as the distance between the opposite midpoint and the centroid of the triangle. Thus, the ratio of the radius of the larger circle to the radius of the smaller circle is 2:1. "