If the diameter of a circle is 12 cm, what is its area?

Practice Questions

Q1
If the diameter of a circle is 12 cm, what is its area?
  1. 113.04 cm²
  2. 36 cm²
  3. 144 cm²
  4. 28.26 cm²

Questions & Step-by-Step Solutions

If the diameter of a circle is 12 cm, what is its area?
  • Step 1: Identify the diameter of the circle, which is given as 12 cm.
  • Step 2: Calculate the radius by dividing the diameter by 2. So, radius = 12 cm / 2 = 6 cm.
  • Step 3: Use the formula for the area of a circle, which is Area = πr².
  • Step 4: Substitute the radius into the formula. So, Area = π(6 cm)².
  • Step 5: Calculate (6 cm)², which is 36 cm².
  • Step 6: Multiply by π to find the area. So, Area = 36π cm².
  • Step 7: If needed, approximate the area using π ≈ 3.14. So, Area ≈ 36 * 3.14 ≈ 113.04 cm².
  • Circle Geometry – Understanding the relationship between diameter, radius, and area of a circle.
  • Area Calculation – Applying the formula for the area of a circle (A = πr²) correctly.
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