Answer
$$25 \space m^2$$
Work Step by Step
Formula for the area of a circular sector: $$A = \frac 12 r^2 \theta$$
r = radius = 5 m
$\theta = angle = 2$
Substituting the values into the formula: $$A = \frac 12 (5 \space m)^2(2) = 25 \space m^2$$