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11 January, 09:11

A basketball team wants to paint half of a free-throw circle grey. If the circumference of the free-throw circle is 30.77 feet, what is the area that will be painted grey? Use 3.14 for π, and round to the nearest square foot. Enter your answer in the box.

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  1. 11 January, 10:01
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    To solve this exercise, you must apply the proccedure below:

    1. First, you must apply the formula for calculate the area of a semicircle, which is:

    A=πr²/2

    A is the area of the semicircle.

    π=3.14

    r is the radius of the semicircle

    2. The radius is:

    r=D/2

    r=30.77 feet/2

    r=15.385 feet

    3. When you substitute the values into the formula, you obtain:

    A=πr²/2

    A = (3.14) (15.385 feet) ²/2

    A=371.61 feet²

    The area that will be painted grey is: 371.61 feet ²
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