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Thread: circle geometry

  1. #1
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    Arrow circle geometry

    Could someone take a look at this? I think the answer is 32. Am I right?
    Attached Thumbnails Attached Thumbnails circle geometry-value-km.gif  
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  2. #2
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    Come on, Sanee!

    No lengths are given . . . so, $\displaystyle KM$ could be 10,000,000.

    And is $\displaystyle GL = LK\:?$

    Is there any other information you're withholding from us?

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  3. #3
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    Post value of km

    Sorry about that, it didn't carry over in pasting.

    KG = IJ = 32 and LM is tangent to the circle. Which is the value of km?
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  4. #4
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    Hello, Sanee!

    $\displaystyle KG \, = \, IJ \, = \,32$ and $\displaystyle LM$ is tangent to the circle.
    Which is the value of $\displaystyle KM$ ?

    Since $\displaystyle IJ \,=\,32$, the radius is: .$\displaystyle GL = 16$

    Since $\displaystyle KG \,=\,32$, then $\displaystyle LK \,= \,16$

    $\displaystyle \Delta KLM$ is a 30-60 right triangle.

    . . Therefore: .$\displaystyle KM \:=\:2(LK) \:=\:2(16) \:=\:32$

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