Find the radius 14m. circumference and area of a circle

Mathematics

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Answers

2 parts
1

87.96 m87.96\ \text{m}

2

615.75 m2615.75\ \text{m}^2

Step-by-step solution

6 steps

Part 1· 3 steps

Find the circumference of a circle with radius 14m.

  1. Formula for Circumference

    The formula for the circumference of a circle is C=2πrC = 2\pi r, where rr is the radius.

  2. Substitute the given radius

    Given radius r=14 mr = 14\ \text{m}.
    C=2×π×14 mC = 2 \times \pi \times 14\ \text{m}
    C=28π mC = 28\pi\ \text{m}

  3. Calculate the numerical value (approximate)

    Using π≈3.14159\pi \approx 3.14159:
    C≈28×3.14159 mC \approx 28 \times 3.14159\ \text{m}
    C≈87.96 mC \approx 87.96\ \text{m}

    The circumference of the circle is approximately:
    87.96\ m


Part 2

615.75 m2615.75\ \text{m}^2

Find the area of a circle with radius 14m.

  1. Formula for Area

    The formula for the area of a circle is A=πr2A = \pi r^2, where rr is the radius.

  2. Substitute the given radius

    Given radius r=14 mr = 14\ \text{m}.
    A=π×(14 m)2A = \pi \times (14\ \text{m})^2
    A=π×196 m2A = \pi \times 196\ \text{m}^2
    A=196π m2A = 196\pi\ \text{m}^2

  3. Calculate the numerical value (approximate)

    Using π≈3.14159\pi \approx 3.14159:
    A≈196×3.14159 m2A \approx 196 \times 3.14159\ \text{m}^2
    A≈615.75 m2A \approx 615.75\ \text{m}^2

    The area of the circle is approximately:
    615.75\ m^2

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