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.
-$\mathrm { r } = 5$ inches, $\theta = 2$ radians, $\mathrm { A } =$ ?
A) $25 \mathrm { in } ^ { 2 }$
B) 50 in 2
C) 10 in 2
D) 5 in $^ { 2 }$

Question

Quizplus · Accepted Answer

The area of a sector of a circle is given by the formula $ A = \frac{1}{2} r^2 \theta $. Substituting $ r = 5 $ and $ \theta = 2 $, we get $ A = \frac{1}{2} \times 5^2 \times 2 = 25 $ square inches.

If a Denotes the Area of the Sector of a Circle