Calculate the perimeter of the following shapes

Mathematics

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6 steps

Part c· 3 steps

The shape is a triangle with side lengths 3 cm3 \text{ cm}, 4 cm4 \text{ cm}, and 5 cm5 \text{ cm}.

  1. Identify the formula for the perimeter of a triangle.

    The perimeter PP of a triangle with side lengths aa, bb, and cc is given by:

    P=a+b+cP = a+b+c
  2. Substitute the given side lengths into the formula.

    P=3 cm+4 cm+5 cmP = 3 \text{ cm} + 4 \text{ cm} + 5 \text{ cm}
  3. Calculate the perimeter.

    P=12 cmP = 12 \text{ cm}

    The perimeter of the triangle is 12 cm\boxed{\text{12 cm}}.

Part d· 3 steps

The shape is a circle with a radius of 3 cm3 \text{ cm}.

  1. Identify the formula for the perimeter (circumference) of a circle.

    The circumference CC of a circle with radius rr is given by:

    C=2πrC = 2\pi r
  2. Substitute the given radius into the formula.

    C=2×π×3 cmC = 2 \times \pi \times 3 \text{ cm}
  3. Calculate the circumference.

    C=6π cmC = 6\pi \text{ cm}

    Using π≈3.14159\pi \approx 3.14159:

    C≈6×3.14159 cmC \approx 6 \times 3.14159 \text{ cm} C≈18.85 cmC \approx 18.85 \text{ cm}

    The perimeter (circumference) of the circle is 6\picm\boxed{\text{6\pi cm}} or approximately 18.85 cm\boxed{\text{18.85 cm}}.

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