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Use a compass to draw a circle that has: a. radius of 5 cm. b. radius of 4.5 cm. c. radius of 10 cm. d. diameter of 12 cm. e. diameter of 15 cm.

Mathematics

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Step-by-step solution

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To draw a circle using a compass, you need to set the compass to the desired radius. If the diameter is given, you must first calculate the radius. The radius (rr) is half of the diameter (dd), so r=d2r = \frac{d}{2}.

Here are the radii for each circle you need to draw:

Part a· 1 step

  1. Identify the given measurement.

    The radius is given directly.

    r=5 cmr = 5 \text{ cm}

    To draw this circle, set your compass to a radius of 5 cm.

Part b· 1 step

  1. Identify the given measurement.

    The radius is given directly.

    r=4.5 cmr = 4.5 \text{ cm}

    To draw this circle, set your compass to a radius of 4.5 cm.

Part c· 1 step

  1. Identify the given measurement.

    The radius is given directly.

    r=10 cmr = 10 \text{ cm}

    To draw this circle, set your compass to a radius of 10 cm.

Part d· 2 steps

  1. Identify the given measurement.

    The diameter is given.

    d=12 cmd = 12 \text{ cm}

  2. Calculate the radius.

    The radius is half of the diameter.

    r=d2=12 cm2=6 cmr = \frac{d}{2} = \frac{12 \text{ cm}}{2} = 6 \text{ cm}

    To draw this circle, set your compass to a radius of 6 cm.

Part e· 2 steps

  1. Identify the given measurement.

    The diameter is given.

    d=15 cmd = 15 \text{ cm}

  2. Calculate the radius.

    The radius is half of the diameter.

    r=d2=15 cm2=7.5 cmr = \frac{d}{2} = \frac{15 \text{ cm}}{2} = 7.5 \text{ cm}

    To draw this circle, set your compass to a radius of 7.5 cm.

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