
Carmilla F.
asked 05/14/20There are two circles. The diameter of the first is 12 inches and the area of the second is 2 1/4 times the area of the first. What is the diameter of the second circle?
In this case, let π (Pi) = 3.1416 and round the answer to the nearest tenth
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1 Expert Answer

John M. answered 05/14/20
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Diameter of Circle A1 = 12 in.
A1 = 36π = πr2
A2 = (9/4)x36π = 81π
81π= πr2
r2 = 81
r = 9 Radius of A2
Diameter = 2r = 18 inches
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Stanton D.
Hi Carmilla F., This problem is also quickly solved (as was your other one) by scaling; you want =12*(2.25)^0.5 as a calculation. -- Cheers!05/14/20