What is the diameter of a circle with an area of 50.24 cm²? (2019)

Practice Questions

Q1
What is the diameter of a circle with an area of 50.24 cm²? (2019)
  1. 8 cm
  2. 10 cm
  3. 12 cm
  4. 14 cm

Questions & Step-by-Step Solutions

What is the diameter of a circle with an area of 50.24 cm²? (2019)
  • Step 1: Write down the formula for the area of a circle, which is Area = πr².
  • Step 2: Substitute the given area (50.24 cm²) into the formula: 50.24 = πr².
  • Step 3: To find r², divide both sides by π: r² = 50.24 / π.
  • Step 4: Calculate the value of r² using the value of π (approximately 3.14): r² ≈ 50.24 / 3.14.
  • Step 5: Find the value of r by taking the square root of r²: r ≈ √(50.24 / 3.14).
  • Step 6: Calculate the approximate value of r, which is about 4 cm.
  • Step 7: To find the diameter, use the formula Diameter = 2r: Diameter = 2 * 4 cm.
  • Step 8: Calculate the diameter: Diameter = 8 cm.
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