Question

Express answers in simplest exact form.

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

Answer 1

Sector area means that it is a fraction of the circle. The area of a circle is \[\pi * r^2\] You can take a fraction of the circle by multiplying the area by the sector fraction.
\[{70 \over 360} * \pi *r^2 = 7\]
Solve for r:
\[\sqrt{{{360 * 7}\over{70*\pi}}} = r\]

Answer 2

r = 18

Answer 3

thanks

Answer 4

:)

Answer 5

supahfart, your set up doesn't appear to be accurate

Answer 6

lolz supahfart hahahaha

Answer 7

You're right, I used 7, assuming that pi sq ft was a measurement XD:
\[{70\over360}∗π∗r^2=7\pi\]
\[\sqrt{{{360*7}\over{70}}} = r\]
r = 6

Answer 8

you used circumference hero. You are wrong

Answer 9

Yes, you're right. I sped read the question. I am wrong.

Answer 10

Thank you for catching my mistake though. It is greatly aprreciated

Answer 11

yeah r =6, confirmed

Answer 12

\[\frac {70}{360} = \frac {7\pi}{{\pi}r^2}\]