What is the radius of a circle if the circumference is 31.4 m? (2020)

Practice Questions

Q1
What is the radius of a circle if the circumference is 31.4 m? (2020)
  1. 5 m
  2. 10 m
  3. 15 m
  4. 20 m

Questions & Step-by-Step Solutions

What is the radius of a circle if the circumference is 31.4 m? (2020)
  • 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 m, so we can write the equation: 31.4 = 2πr.
  • Step 3: To find the radius (r), we need to isolate r in the equation. We can do this by dividing both sides by 2π.
  • Step 4: Rewrite the equation: r = 31.4 / (2π).
  • Step 5: Now, calculate the value of r using the approximate value of π (3.14): r ≈ 31.4 / (2 * 3.14).
  • Step 6: Calculate 2 * 3.14, which is approximately 6.28.
  • Step 7: Now divide 31.4 by 6.28: r ≈ 31.4 / 6.28 ≈ 5 m.
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