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Thread: Can someone help me with this circle geo Question

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    Can someone help me with this circle geo Question

    Yeah i'm a bit lost.

    Its from cambridge yr 11 3u, Exercise 14H Q18

    I think you use A=1/2 (absinC)

    Screenshot (2).png

    Thanks.

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    Re: Can someone help me with this circle geo Question

    Quote Originally Posted by StudyMaster101 View Post
    Yeah i'm a bit lost.

    Its from cambridge yr 11 3u, Exercise 14H Q18

    I think you use A=1/2 (absinC)

    Screenshot (2).png

    Thanks.
    Since PSQ is right-angled at S, PS = d cos @

    Using: Area of triangle A = "(1/2)absinC" = (1/2) dcos@ x dcos @ x sin @ = (1/2)d2cos2@sin @

    dA/d@ = 0.5d2cos@(1-3sin2@) = 0 when A is maximum.

    Solving: sin2@ = 1/3

    Substitute this into A = 0.5d2(1 - sin2@)sin@
    you get A-max = the reqd result.
    Last edited by Drongoski; 2 Jun 2018 at 8:21 PM.
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