Answer
A=25$\sqrt 3$-$\frac{25}{3}$
Work Step by Step
height of triangle=.5s$\sqrt 3$
h=5$\sqrt 3$
radius of circle= apothem=$\frac{1}{3}$h
r=$\frac{5\sqrt 3}{3}$
A=.5(10)(5$\sqrt 3$)-$\pi$($\frac{5\sqrt 3}{3}$)$^2$
A=25$\sqrt 3$-$\frac{25}{3}$