SOLUTION: The circumference of a circle is pi/2. What is the area of the circle? Leave your answer in terms of pi.

Algebra ->  Formulas -> SOLUTION: The circumference of a circle is pi/2. What is the area of the circle? Leave your answer in terms of pi.      Log On


   

Question 1020604: The circumference of a circle is pi/2. What is the area of the circle? Leave your answer in terms of pi.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +C+ = circumference
+C+=+2%2Api%2Ar+
You are given that:
+pi%2F2+=+2%2Api%2Ar+
Divide both sides by +pi+
+1%2F2+=+2r+
+r+=+1%2F4+
------------
Let +A+ = area of the circle
+A+=+pi%2Ar%5E2+
+A+=+pi%2A%28+1%2F4+%29%5E2+
+A+=+pi%2F16+