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Find the circumference of a circle whose radius is 14 cm, and whose diameter is 49 cm.

Mathematics

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Step-by-step solution

9 steps

Circumference of a circle with radius 14 cm

  1. Formula for circumference

    C=2πrC = 2\pi r
  2. Substitute r=14 cmr = 14~\mathrm{cm}

    C=2π×14 cmC = 2\pi \times 14~\mathrm{cm}
  3. Simplify

    C=28π cmC = 28\pi~\mathrm{cm}

    28\pi~cm

    Circumference of a circle with diameter 49 cm

  4. Formula for circumference

    C=πdC = \pi d
  5. Substitute d=49 cmd = 49~\mathrm{cm}

    C=π×49 cmC = \pi \times 49~\mathrm{cm}
  6. Simplify

    C=49π cmC = 49\pi~\mathrm{cm}

    49\pi~cm

    Area of a circle with radius 12 cm

  7. Formula for area

    A=πr2A = \pi r^{2}
  8. Substitute r=12 cmr = 12~\mathrm{cm}

    A=π(12 cm)2A = \pi (12~\mathrm{cm})^{2}
  9. Simplify

    A=π×144 cm2A = \pi \times 144~\mathrm{cm}^{2} A=144π cm2A = 144\pi~\mathrm{cm}^{2}

    144\pi~cm^{2}

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