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What is the radius of a circle with a circumference of 31.4 units?

Practice Questions

Q1
What is the radius of a circle with a circumference of 31.4 units?
  1. 5 units
  2. 10 units
  3. 15 units
  4. 20 units

Questions & Step-by-Step Solutions

What is the radius of a circle with a circumference of 31.4 units?
  • Step 1: Understand that the circumference (C) of a circle is related to its radius (r) by the formula C = 2πr.
  • Step 2: We know the circumference is 31.4 units, so we can write the equation as 31.4 = 2πr.
  • Step 3: To find the radius (r), we need to rearrange the formula. We can do this by dividing both sides by 2π.
  • Step 4: This gives us r = 31.4 / (2π).
  • Step 5: Now, we need to calculate the value of r. First, calculate 2π, which is approximately 6.28.
  • Step 6: Now divide 31.4 by 6.28. This gives us r = 5 units.
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