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Polly has a rug that is in the shape of a regular pentagon with a side length of $10\text{ feet}$ and a radius of $8.5\text{ feet}$ .

What is the exact area of Polly's rug?

$\cfrac{\sqrt{189}}{4}\text{ in}^{2}$

$\cfrac{5\sqrt{189}}{2}\text{ in}^{2}$

$\cfrac{5\sqrt{189}}{4}\text{ in}^{2}$

$\cfrac{25\sqrt{189}}{2}\text{ in}^{2}$

$25\sqrt{189}\text{ in}^{2}$