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What is the radius of a circle whose area is 113.04 cm²?

Practice Questions

Q1
What is the radius of a circle whose area is 113.04 cm²?
  1. 6 cm
  2. 7 cm
  3. 8 cm
  4. 9 cm

Questions & Step-by-Step Solutions

What is the radius of a circle whose area is 113.04 cm²?
  • Step 1: Understand that the area of a circle is calculated using the formula Area = πr², where r is the radius.
  • Step 2: We know the area is 113.04 cm². We need to find the radius (r).
  • Step 3: Rearrange the formula to solve for r: r = √(Area/π).
  • Step 4: Substitute the area into the formula: r = √(113.04/π).
  • Step 5: Calculate π (approximately 3.14) and divide 113.04 by π: 113.04/3.14 ≈ 36.0.
  • Step 6: Now take the square root of 36.0: √36.0 = 6.
  • Step 7: Therefore, the radius of the circle is approximately 6 cm.
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