Question

3. What is the radius of the figure if the Area of the Sector is 288*pi? *

Answer 1

Answer:

The radius of the circle is 36

x = 36

Step-by-step explanation:

Area of sector formula is:

$A=\frac{\theta}{360}*\pi r^2$

Given  $\theta=80$, and area (A) is $288\pi$, we substitute and solve for r:

$A=\frac{\theta}{360}*\pi r^2\\288\pi=\frac{80}{360}*\pi r^2\\288\pi=\frac{2}{9}*\pi r^2\\288\pi=\frac{2\pi r^2}{9}\\2\pi r^2= 2592 \pi \\r^2= 1296\\r=\sqrt{1296}\\r=36$

Thus,

The radius of the circle is 36

x = 36