The radius of a circle is 9 feet. What is the length of a 90° arc?

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The radius of a circle is 9 feet. What is the length of a 90° arc?

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Yến Oanh 4 years 2021-08-09T11:36:55+00:00 1 Answers 16 views 0

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  1. Nem
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    2021-08-09T11:38:46+00:00
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    Answer:

    \frac{9\pi }{2} feet, or 14.14 feet

    Step-by-step explanation:

    Use the arc length formula:

    s = rθ

    To use the formula, we have to convert the central angle to radians.

    90° is equivalent to \frac{\pi }{2} radians, so plug this and the radius into the formula:

    s = rθ

    s = (9)(\frac{\pi }{2})

    s = \frac{9\pi }{2}

    So, the length of the arc is \frac{9\pi }{2}\\ feet, or approximately 14.14 feet

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