Answer
A=$\frac{25}{3}$$\pi$$\approx$26.18 cm$^2$
Work Step by Step
The radius of the inscribed circle is equal to the apothem of the triangle.
h=.5s$\sqrt 3$
h=5$\sqrt 3$
a=$\frac{1}{3}$h
a=$\frac{5\sqrt 3}{3}$=radius
A=$\pi$r$^2$
A=$\frac{25}{3}$$\pi$$\approx$26.18 cm$^2$
