Question

What is the radius of a circle with a sector area of 7pi sq. ft. and an arc whose measure is 70°? 6 feet 10 feet 18 feet

Answer 1

Here we have to use the formula of area of sector, which is

$A = (\frac{\Theta}{360})*\pi r^2$

Theta = 70 degree, and radius is unknown here. It is given that area = 7 pi .

Substituting the given values in the formula, we will get

$7 \pi = (\frac{70}{360})*\pi r^2$

$\frac{7 \pi * 360}{70 \pi}=r^2$

$36 = r^2=>r=6ft$

Therefore the correct option is the first option .