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Math Help - Circle Problem

  1. #1
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    Circle Problem

    Helping my little brother's homework.

    A circle of diameter 20cm has two parallel chords of length 8cm and 16cm.
    Calculate the shortest distance between these chords.

    Is the answer 8cm?

    (sorry about awful drawing)
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  2. #2
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    Quote Originally Posted by r_maths View Post
    Helping my little brother's homework.

    A circle of diameter 20cm has two parallel chords of length 8cm and 16cm.
    Calculate the shortest distance between these chords.

    Is the answer 8cm?

    (sorry about awful drawing)
    See attachment.

    You are dealing with 2 different right triangles.

    Calculate x = \sqrt{100-16}=\sqrt{84}

    Calculate y = \sqrt{100-64}=\sqrt{36}=6

    The distance between the parallels is:

    d = x-y = \sqrt{84}-6\approx 3.165...
    Attached Thumbnails Attached Thumbnails Circle Problem-abstd_zweiparallimkreis.png  
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