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6 December, 09:47

How much greater, in square inches, is the area of a circle of radius 20 inches than a circle of diameter 20 inches? Express your answer in terms of pi.

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  1. 6 December, 11:18
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    300π in²

    Step-by-step explanation:

    The circle with diameter 20 inches has a radius of 10 inches, so an area of ...

    A = πr² = π (10 in) ² = 100π in²

    The circle with a radius of 20 inches has an area of ...

    A = πr² = π (20 in) ² = 400π in²

    The larger circle is larger by ...

    (400π in²) - (100π in²) = 300π in²
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