If a circle has a circumference of 31.4 cm, what is the radius of the circle?

Practice Questions

Q1
If a circle has a circumference of 31.4 cm, what is the radius of the circle?
  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 the radius of the circle?
  • Step 1: Understand that the circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.
  • Step 2: We know the circumference (C) is 31.4 cm.
  • Step 3: To find the radius (r), we need to rearrange the formula to solve for r. This gives us r = C / (2π).
  • Step 4: Substitute the value of C into the formula: r = 31.4 / (2π).
  • Step 5: Calculate the value of 2π. (Use 3.14 for π, so 2π ≈ 6.28).
  • Step 6: Now divide 31.4 by 6.28 to find the radius: r ≈ 31.4 / 6.28.
  • Step 7: Perform the division: r ≈ 5 cm.
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