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Math Help - Measure of central angle

  1. #1
    rcs
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    Measure of central angle

    A circle has radius of 7cm. How many degrees is the central angle subtended by an arc of length 5.5 cm?


    can anybody help me what this problem all about... I can't understand the problem... Please do illustrate.

    thanks
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    Re: Measure of central angle

    Hey rcs.

    For this you should use the standard arc-length formula which is arc-length = r*theta where r is the radius and theta is the angle sub-tended.

    Arc (geometry) - Wikipedia, the free encyclopedia
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    rcs
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    Re: Measure of central angle

    Quote Originally Posted by chiro View Post
    Hey rcs.

    For this you should use the standard arc-length formula which is arc-length = r*theta where r is the radius and theta is the angle sub-tended.

    Arc (geometry) - Wikipedia, the free encyclopedia

    I got
    Theta = 5.5/7 = .7857... I think it is not right
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  4. #4
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    Re: Measure of central angle

    That is right of the angle is in radians.

    In degrees we get:

    > 5.5/7
    [1] 0.7857143
    > 5.5/7*180/pi
    [1] 45.01811

    or roughly 45 degrees.
    Thanks from rcs
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