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What is the perimeter of a semicircle with a diameter of 14 cm?

Mathematics

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Step-by-step solution

2 steps

Here are the perimeters of the shapes:

1)
This shape is a semicircle.

  1. Identify the given dimensions.

    The straight side is the diameter (dd) of the semicircle, which is 14 cm14 \text{ cm}.

  2. Calculate the length of the curved part.

    The curved part is half the circumference of a circle. The formula for the circumference of a circle is C=πdC = \pi d.
    Length of curved part =12πd=12×227×14 cm= \frac{1}{2} \pi d = \frac{1}{2} \times \frac{22}{7} \times 14 \text{ cm}.
    Length of curved part $= 11 \times 2 cm = 22 \text

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