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If a circle has a circumference of 31.4 cm, what is its radius? (2022)

Practice Questions

Q1
If a circle has a circumference of 31.4 cm, what is its radius? (2022)
  1. 5 cm
  2. 10 cm
  3. 15 cm
  4. 20 cm

Questions & Step-by-Step Solutions

If a circle has a circumference of 31.4 cm, what is its radius? (2022)
  • Step 1: Understand that the circumference of a circle is given by the formula: Circumference = 2πr, where r is the radius.
  • Step 2: We know the circumference is 31.4 cm, so we can write the equation: 31.4 = 2πr.
  • Step 3: To find the radius (r), we need to isolate r in the equation. First, divide both sides by 2π: r = 31.4 / (2π).
  • Step 4: Calculate the value of 2π. Use the approximation π ≈ 3.14, so 2π ≈ 6.28.
  • Step 5: Now substitute 6.28 into the equation: r = 31.4 / 6.28.
  • Step 6: Perform the division: r ≈ 5 cm.
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