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A given sector in a circle has arc length equal to an unknown value $x$. Assume the radius of the circle is $y$ and the sector's central angle is $\theta$.

What is the area of the sector in terms of $x$, $y$, and $\theta$?

A

$\cfrac{y\theta(x-2y)}{360}$

B

$(x-2y)(\cfrac{y}{2})$

C

$\cfrac{\theta}{360}\times{\pi(y^{2})}$

D

$\cfrac{x-2y}{y^2}$

E

None of the answers is correct.

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