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17 August, 06:40

If is a diameter, which of the following must be a semicircle?

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  1. 17 August, 06:55
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    There are two semicircles in the drawing: the arc going clockwise from a to c and the arc going counterclockwise from a to c.

    AOB is adjacent to BOC

    BOC is adjacent to COD

    and

    COD is adjacent to AOD

    Since COD is 45 degrees, angle AOD is 180 degrees - 45 degrees or 135 degrees.

    The circumference of the circle is pi * AC. The length of the arc AD = 135/360 * pi * AC = 1.18 * AC.
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