SOLUTION: True or False: If I increase the circumference of a circle, its area will always increase. Explain.

Algebra ->  Circles -> SOLUTION: True or False: If I increase the circumference of a circle, its area will always increase. Explain.      Log On


   



Question 812789: True or False: If I increase the circumference of a circle, its area will always increase. Explain.
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Circumference of a circle = 2*pi*r


2 and pi are constant values. So the only way to increase the circumference is to increase the radius.


Area of a circle = pi%2Ar%5E2. If the radius increases then so does the area.


The statement is true. If the circumference of a circle increases then so does its area.