Question

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

288pi is the area.

Answer 1

The radius of the circle is 36

x = 36

Explanation:

Area of sector formula is:

`A=(\theta)/(360)*\pi r^2`

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

`A=(\theta)/(360)*\pi r^2\\288\pi=(80)/(360)*\pi r^2\\288\pi=(2)/(9)*\pi r^2\\288\pi=(2\pi r^2)/(9)\\2\pi r^2= 2592 \pi \\r^2= 1296\\r=√(1296)\\r=36`

Thus,

The radius of the circle is 36

x = 36