SOLUTION: If the radius of a circle is increased by 2 cm, its area increases by 16PI square centimeters. What is the original radius of the circle?
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Question 657375
:
If the radius of a circle is increased by 2 cm, its area increases by 16PI square centimeters. What
is the original radius of the circle?
Answer by
solver91311(24713)
(
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):
You can
put this solution on YOUR website!
If the original circle had a radius of
, then the area of the original circle was
.
The new circle then has a radius of
, so the area of the new circle is
.
We are given that the difference between these two areas is
, so:
Solve for
John
My calculator said it, I believe it, that settles it