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Math Help - Finding radius of a circular sector.

  1. #1
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    Finding radius of a circular sector.

    Find the radius of a circular sector with angle 3π/2

    and arc length 3 cm.

    I was not there when we did this in class, so I don' know what to do here at all.
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  2. #2
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    Re: Finding radius of a circular sector.

    What would the full arc length of the circle be?

    After you know this C = 2\pi r
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  3. #3
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    Re: Finding radius of a circular sector.

    Quote Originally Posted by xxStrikeback View Post
    Find the radius of a circular sector with angle 3π/2
    and arc length 3 cm.
    I was not there when we did this in class, so I don' know what to do here at all.
    Well you should have been class.
    The length of an arc sub-tended by an angle of \theta is r\theta~.
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  4. #4
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    Re: Finding radius of a circular sector.

    Quote Originally Posted by Plato View Post
    Well you should have been class.
    The length of an arc sub-tended by an angle of \theta is r\theta~.
    Because the proportion of the circle's circumference being measured is \displaystyle \frac{\theta}{2\pi}, so the arc length is \displaystyle \frac{\theta}{2\pi} \times 2\pi r = r\theta
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