SOLUTION: When the radius of a circle is increased by two inches, its area is increased by 24 pi inches squared. What is the radius of the larger circle?
Question 1062803: When the radius of a circle is increased by two inches, its area is increased by 24 pi inches squared. What is the radius of the larger circle? Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! 1) area(A) = pi * radius(r)^2
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2) A +(24*pi) = pi * (r+2)^2
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substitute for A in equation 2
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(pi * r^2) +(24*pi) = pi * (r+2)^2
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divide both sides of = by pi
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r^2 + 24 = r^2 +4r +4
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4r = 20
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r = 5
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The radius of the larger circle is 5+2 = 7 inches
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