Answer
$25 \, m^2$
Work Step by Step
$\because A = \dfrac{1}{2}r^2 \theta$
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:
$A = \dfrac{1}{2}\times (10)^2 \times \dfrac{1}{2} = \boxed{25 \, m^2}$
