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A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 percent larger than the original. By what percentage has the area of the logo increased?

A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 percent larger than the original. By what percentage has the area of the logo increased? Correct Answer 125

Original area = A1 = π(d1)2/4 New area = A2 = π(d2)2/4 A1/A2 = d22/d12 = (1.5)2 = 2.25 A2 = 2.25A1 So, increase = 2.25A1 - A1 = 1.25A1 This is an increase of 125%

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