A circle has a diameter of 10 cm. What is its area?

Practice Questions

Q1
A circle has a diameter of 10 cm. What is its area?
  1. 78.5 cm²
  2. 31.4 cm²
  3. 50 cm²
  4. 100 cm²

Questions & Step-by-Step Solutions

A circle has a diameter of 10 cm. What is its area?
  • Step 1: Identify the diameter of the circle, which is given as 10 cm.
  • Step 2: Calculate the radius by dividing the diameter by 2. So, radius = 10 cm / 2 = 5 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(5 cm)².
  • Step 5: Calculate (5 cm)², which is 25 cm².
  • Step 6: Multiply by π to find the area. So, Area = 25π cm².
  • Step 7: If needed, approximate the area using π ≈ 3.14. So, Area ≈ 25 * 3.14 = 78.5 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.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely