## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

$25 \, m^2$
$\because A = \dfrac{1}{2}r^2 \theta$ where $r$: Radius of the circle $\theta$: Central angle that subtends the arc (in radians) $A$: Area of the sector of the circle formed by the central angle $\theta$ Using the formula above gives: $A = \dfrac{1}{2}\times (10)^2 \times \dfrac{1}{2} = \boxed{25 \, m^2}$