Question 164142: For what nonzero value of the radius is the circumference of a circle numerically equal to its area? Found 2 solutions by Alan3354, Edwin McCravy:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! For what nonzero value of the radius is the circumference of a circle numerically equal to its area?
---------------------
Good question, I never thought of that.
Area = PI*r^2 = 2PIr = circumference
PI*r^2 = 2PIr
Divide by PI*r
r = 2
--------------
Area = 4PI
Circum = 4PI
You can put this solution on YOUR website! Edwin's solution:
For what nonzero value of the radius is the circumference of a circle numerically equal to its area?
If we want , then
Divide both sides by :
Cancel the 's
Get 0 on the right by adding to both sides:
Factor out on the left:
Use the zero-factor property:
Answer: the nonzero value of is .
Edwin
