SOLUTION: If the radius of a circle were increased by 2 inches, the area would be increased by 32pi square inches. What is the radius?
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Question 219421: If the radius of a circle were increased by 2 inches, the area would be increased by 32pi square inches. What is the radius?
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Let x= original radius
x+2 = new radius
Original area =
New area =
The equation is that the NEW area = ORIGINAL area +
Divide both sides by
Subtract x^2 from each side:
inches
Check: Original area =
New area =
Indeed, the area IS increased by sq inches.
R^2
Dr. Robert J. Rapalje
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