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Math Help - [SOLVED] circle problem

  1. #1
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    [SOLVED] circle problem

    there are three consecutice circles (A B C), each with radii 3in.
    its hard to picture it but theres a circle in the middle with the other two circles touching at exactly the middle of the center circle...there is a trapeziod formed with points where 1. circle A intersects circle B at the top 2. circle B intersects circle C at the top (that formes a horizontal line)
    the base of the trapezoid is the diameter of circle B... the two lines are connected by two diagonal lines to form a trapezoid...what is the perimeter of the trapezoid
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  2. #2
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    Quote Originally Posted by ayobamiajayi View Post
    there are three consecutice circles (A B C), each with radii 3in.
    its hard to picture it but theres a circle in the middle with the other two circles touching at exactly the middle of the center circle...there is a trapeziod formed with points where 1. circle A intersects circle B at the top 2. circle B intersects circle C at the top (that formes a horizontal line)
    the base of the trapezoid is the diameter of circle B... the two lines are connected by two diagonal lines to form a trapezoid...what is the perimeter of the trapezoid

    Is this the setup you are describing?
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  3. #3
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    YES!
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  4. #4
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    Hello, ayobamiajayi!

    Thanks to masters' diagram, we see that the trapezoid
    . . is comprised of three equilateral triangles.

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    thank u
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  6. #6
    A riddle wrapped in an enigma
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    Draw chords from center of circle B to the intersections of circles B and A, and also to circles B and C. These lengths are also radii of circle B, thus 3 inches. This makes an equilateral triangle at the top which includes the other base of the trapezoid. That base must be 3 inches.

    Therefore the perimeter of the trapezoid is 15 inches.
    Attached Thumbnails Attached Thumbnails [SOLVED] circle problem-trap.bmp  
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