SOLUTION: A denotes the area of a sector of a circle of radius r formed by the central angle (theta). Find missing quantity. (theta)= 1/4 radian, A= 6 square centimeters, r=? Please sh

Algebra ->  Pythagorean-theorem -> SOLUTION: A denotes the area of a sector of a circle of radius r formed by the central angle (theta). Find missing quantity. (theta)= 1/4 radian, A= 6 square centimeters, r=? Please sh      Log On


   

Question 896913: A denotes the area of a sector of a circle of radius r formed by the central angle (theta). Find missing quantity.
(theta)= 1/4 radian, A= 6 square centimeters, r=?
Please show steps on how to solve or formula used. Thank you.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
A=%28theta%2F%282pi%29%29pi%2Ar%5E2.

theta%2F%282pi%29 is the fraction of the circle that theta takes;
pi%2Ar%5E2 is the area of the entire circle if theta were 2pi.

r%5E2=A%2A%282%29%2Ftheta%29
highlight%28r=%28sqrt%28%282A%2Ftheta%29%29%29%29.