If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If
necessary, round the answer to two decimal places.
-$\theta = 60 ^ { \circ } , \mathrm { A } = 100$ square meters, $\mathrm { r } =$ ?
A) $6.26 \mathrm {~m}$
B) $39.25 \mathrm {~m}$
C) $157 \mathrm {~m}$
D) $13.82 \mathrm {~m}$

Question

Quizplus · Accepted Answer

The formula for the area of a sector is $ A = \frac{\theta}{360} \times \pi r^2 $. Plugging in the values, $ 100 = \frac{60}{360} \times \pi r^2 $. Solving for $ r $, we get $ r \approx 13.82 $ m.

If a Denotes the Area of the Sector of a Circle