# Math Help - Geometry Question

1. ## Geometry Question

THe diagram opposite shows an equilateral triangle ABC whose sides are 2(x) units long.

a) show that the inscribed circle tangent to all three sides has area 1/3pi(x)^2

b) show that the circumscribed circle passing through all three vertices has four times the area of the inscribed circle

Thanks

2. The radius of the inscribed circle is $r=\frac{l\sqrt{3}}{6}$, where $l$ is the length of the side of the triangle.

The radius of the circumscribed circla is $R=\frac{l\sqrt{3}}{3}$, where $l$ is the length of the side of the triangle.

Then use the formula for the area of a circle: $A=\pi R^2$