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14 January, 23:58

The radius of a circle increases from 2 inches to 3 inches. By how many square inches does its area increase? A) 5 pi B) 2 pi C) Pi D) pi^2

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  1. 15 January, 00:17
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    A) 5 pi

    Step-by-step explanation:

    To get the increase, we must find the area of the circle when the radius was 2 inches and subtract it from the area of the circle when the radius increases to 3 inches. The difference is the increase in the area of the circle.

    A circle of radius r has an area A given as

    A = Pi r²

    Hence when the radius was 2 inches, the area A

    = Pi * 2²

    = 4 Pi square inches

    when the radius increases to 3 inches, the area

    = Pi * 3²

    = 9 Pi square Inches

    The increase in area

    = 9 Pi - 4 Pi

    = 5 Pi
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