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Math Help - Trig. pendulum question

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    Trig. pendulum question

    The bottom of a pendulum traces an arc 3 feet in length when the pendulum swings through an angle of 1/2 radian. Find the number of feet in the length of the pendulum.
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    Quote Originally Posted by cityismine View Post
    The bottom of a pendulum traces an arc 3 feet in length when the pendulum swings through an angle of 1/2 radian. Find the number of feet in the length of the pendulum.

    The sector of a cricle is given by the formula

    S=r \theta where theta is in radians so we get

    3ft=r\left( \frac{1}{2}rad\right) \iff r=6ft

    So the length of the pendulum is 6ft.
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