Find the area of a sector of a circle having radius r and central angle $$\theta$$ . If necessary, express the answer to the nearest
tenth.
-A circular sector has an area of $384 \mathrm { ft } ^ { 2 }$. The radius of the circle is 8 feet. What is the arc length of the sector?
A) $96 \mathrm { ft }$
B) $98 \mathrm { ft }$
C) $48 \mathrm { ft }$
D) $12 \mathrm { ft }$

Question

Quizplus · Accepted Answer

The area of a sector of a circle is given by the formula $A = \frac{1}{2}r^2\theta$, where $r$ is the radius of the circle and $\theta$ is the central angle in radians. In this case, the radius is 8 feet and the central angle is not given. So, we cannot find the area of the sector.However, we can find the arc length of the sector using the formula $s = r\theta$, where $s$ is the arc length and $\theta$ is the central angle in radians. In this case, the radius is 8 feet and the central angle is not given. So, we cannot find the arc length of the sector.

Find the Area of a Sector of a Circle Having θ\thetaθ

Find the Area of a Sector of a Circle Having $\theta$