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

Practice Questions

Q1
If a circle has a circumference of 31.4 cm, what is the radius of the circle? (Use π = 3.14)
  1. 5 cm
  2. 10 cm
  3. 7 cm
  4. 15 cm

Questions & Step-by-Step Solutions

If a circle has a circumference of 31.4 cm, what is the radius of the circle? (Use π = 3.14)
  • Step 1: Write down the formula for the circumference of a circle, which is C = 2πr.
  • Step 2: Substitute the given circumference (31.4 cm) into the formula: 31.4 = 2 * 3.14 * r.
  • Step 3: Calculate 2 * 3.14, which equals 6.28.
  • Step 4: Now the equation looks like this: 31.4 = 6.28 * r.
  • Step 5: To find r, divide both sides of the equation by 6.28: r = 31.4 / 6.28.
  • Step 6: Calculate 31.4 divided by 6.28, which equals 5 cm.
  • Step 7: Therefore, the radius of the circle is 5 cm.
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