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

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

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Answer

28\pi~cm

Circumference of a circle with radius 14 cm

Step 1: Formula for circumference
C=2πrC = 2\pi r

Step 2: Substitute r=14 cmr = 14~\mathrm{cm}
C=2π×14 cmC = 2\pi \times 14~\mathrm{cm}

Step 3: Simplify
C=28π cmC = 28\pi~\mathrm{cm}

28\pi~\mathrm{cm}

Circumference of a circle with diameter 49 cm

Step 1: Formula for circumference
C=πdC = \pi d

Step 2: Substitute d=49 cmd = 49~\mathrm{cm}
C=π×49 cmC = \pi \times 49~\mathrm{cm}

Step 3: Simplify
C=49π cmC = 49\pi~\mathrm{cm}

49\pi~\mathrm{cm}

Area of a circle with radius 12 cm

Step 1: Formula for area
A=πr2A = \pi r^{2}

Step 2: Substitute r=12 cmr = 12~\mathrm{cm}
A=π(12 cm)2A = \pi (12~cm)^{2}

Step 3: Simplify
A=π×144 cm2A = \pi \times 144~cm^{2}
A=144π cm2A = 144\pi~cm^{2}

144\pi~\mathrm{cm^{2}}

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Quick Answer

Circumference of a circle with radius 14 cm Step 1: Formula for circumference C = 2 r Step 2: Substitute r = 14~cm C = 2 × 14~cm Step 3: Simplify C = 28~cm 28~cm Circumference of a circle with diameter 49 cm Step 1: Formula for circumference C = d Ste…

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

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Circumference of a circle with radius 14 cm Step 1: Formula for circumference C = 2 r Step 2: Substitute r = 14~cm C = 2 × 14~cm Step 3: Simplify C = 28~cm 28~cm Circumference of a circle with diameter 49 cm Step 1: Formula for circumference C = d Step 2: Substitute d = 49~cm C = × 49~cm Step 3: Simplify C = 49~cm 49~cm Area of a circle with radius 12 cm Step 1: Formula for area A = r^2 Step 2: Substitute r = 12~cm A = (12~cm)^2 Step 3: Simplify A = × 144~cm^2 A = 144~cm^2 144~cm^2