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Math Help - Central angle of circle

  1. #1
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    Post Central angle of circle

    Find the central angle of a circle with a radius of 3.2 cm, which subtends an arc 17 cm long.

    Thanks for any help!
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  2. #2
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    This question completely hinges on knowing the formula S=r\theta where S is the arc length, r is the radius of the circle, and \theta is the measure of the central angle of the circle in radians (NOT DEGREES)

    So, we have S and r, and we need to find \theta

    17=3.2*\theta so \theta=\frac{17}{3.2}=5.3125 if you want \theta in degrees, multiply 5.3125 by \frac{180}{\pi}
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