What is the radius of the sector?

Joe Amenta asked Jul 9, 2023

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3 votes

Joe Amenta asked Jul 9, 2023

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21 votes

Answer:

5 units

Explanation:

The area of a sector is
$A=(r^2\theta)/(2)$ where
is the radius and
$\theta$ is the angle formed:

$A=(r^2\theta)/(2)\\\\(75\pi)/(16) =(r^2((3\pi)/(8)))/(2)\\\\150\pi=16r^2((3\pi)/(8))\\\\150\pi=6\pi r^2\\\\25=r^2\\\\5=r$

Therefore, the radius of the sector is 5 units

Joshua Alger answered Jul 15, 2023

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