Question

the area of a sector of a circle with a central angle of 4 radians is 16cm^2. Find the radius of the circle. Do not round any intermediate computations. Round your answer to the nearest tenth.__ cm

Answer 1

Explanation:

With a sectoran ector area calculator, you'll quickly find any circle sector area, e.g., the area of semicircle or quadrant...

Hope's this info helps you!!!!!

Answer 2

the area of a sector of a circle with a central angle of 4 radians is 16cm^2. Find the radius of the circle. Do not round any intermediate computations. Round your answer to the nearest tenth.

we know that

The area of complete circle subtends a central angle of 2pi radians

so

using proportion

`\begin{gathered} (\pi r^2)/(2\pi)=(16)/(4) \\ \text{solve for r} \\ (r^2)/(2)=4 \\ \\ r^2=8 \\ r=\sqrt[]{8\text{ cm}} \end{gathered}`

r=2.8 cm