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10 August, 21:58

A cake has circumference of 25 1/7inches. what is the area of the cake? use 227 to approximate π. round to the nearest hundredth. enter your answer in the box.

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  1. 10 August, 23:37
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    Step-by-step explanation:

    Hello,

    The circumference of the cake is 25 (1/7), but we don't know the area of the cake.

    Assuming the cake has a shape of a circle,

    Circumference of a circle = 2πr

    Where r = radius of the circle.

    Area of a circle = πr²

    But π = 22 / 7

    We have to first find the value of r.

    2πr = 25 (1/7)

    2 * (22/7) * r = 25 (1/7)

    (44/7) r = 176 / 7

    (44 * 7) r = 176 * 7

    44r = 176

    r = 176 / 44

    r = 4 inches

    Area of the circle = πr²

    A = (22 / 7) * 4²

    A = 22 / 7 * 16

    A = 352 / 16

    A = 22 (inches) ²

    The area of the cake is 22in²
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