SOLUTION: The circumference of a circle is 2xπ units and the area of the circle is yπ units. If x = y, what is the radius of the circle? Thank you!

Algebra ->  Circles -> SOLUTION: The circumference of a circle is 2xπ units and the area of the circle is yπ units. If x = y, what is the radius of the circle? Thank you!      Log On


   

Question 467504: The circumference of a circle is 2xπ units and the area of the circle is yπ units. If x = y, what is the radius of the circle?
Thank you!
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
The circumference of a circle is 2pi%2AR, when R is the radius of the circle, so 2x%2Api=2pi%2AR, then x=R
The area of the circle is pi%2AR%5E2, so y%2Api=pi%2AR%5E2, then y=R%5E2
If y=x, then R=R%5E2
R%5E2-R=0
R%28R-1%29=0
R=0+extraneous+root or R=1units
Answer: R=1units