how much bigger is the area of a pizza with a diameter of 18 inches than the area of a pizza with a diameter of 10 inches

Question

how much bigger is the area of a pizza with a diameter of 18 inches than the area of a pizza with a diameter of 10 inches

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Melody 7 months 2021-10-07T10:52:53+00:00 1 Answer 0 views 0

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    2021-10-07T10:54:45+00:00

    Answer:

    approximately 3.24 times greater

    Step-by-step explanation:

    The formula for the area of a circle of radius r is A = πr².  Because we are given the diameter here (not the radius), we substitute d/2 for r in the above formula, obtaining:

    A = π(d/2)²

    Case 1:  A = π [18 in / 2]² = π(9 in)² = 81π in²

    Case 2:  A = π[10 in/2]² =  π[5 in]² = 25π in²

    Dividing 81π in² by 25π in² gives us the desired result:

    The area of the larger pizza is 81/25 times the area of the smaller one, or approximately 3.24 times greater.

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