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23 January, 03:54

Find the radius of the circle if an arc of length 4 ft on the circle subtends a central angle of 45°. (round your answer to two decimal places.)

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  1. 23 January, 04:03
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    If the 4 foot section of the circle is created by a central angle of 45 degrees, then the circumference is 8 times larger or 32 feet.

    Circumference = 2 • π • radius

    radius = circumference / 2*PI

    radius = 32 / 2*3.14159

    radius = 5.0929581789

    radius = 5.09 (rounded)
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