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A circle has a radius of 3 cm. What is its area?

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Question: A circle has a radius of 3 cm. What is its area?

Options:

  1. 28.26 cm²
  2. 18.84 cm²
  3. 31.42 cm²
  4. 12.56 cm²

Correct Answer: 28.26 cm²

Solution: 

Area = π × radius² = π × (3 cm)² ≈ 28.26 cm².

A circle has a radius of 3 cm. What is its area?

Practice Questions

Q1
A circle has a radius of 3 cm. What is its area?
  1. 28.26 cm²
  2. 18.84 cm²
  3. 31.42 cm²
  4. 12.56 cm²

Questions & Step-by-Step Solutions

A circle has a radius of 3 cm. What is its area?
  • Step 1: Identify the formula for the area of a circle, which is Area = π × radius².
  • Step 2: Substitute the radius value into the formula. The radius is 3 cm, so we have Area = π × (3 cm)².
  • Step 3: Calculate (3 cm)², which is 3 cm × 3 cm = 9 cm².
  • Step 4: Now substitute this value back into the formula: Area = π × 9 cm².
  • Step 5: Use the approximate value of π, which is about 3.14. So, Area ≈ 3.14 × 9 cm².
  • Step 6: Multiply 3.14 by 9 to get approximately 28.26 cm².
  • Area of a Circle – The area of a circle is calculated using the formula A = π × r², where r is the radius.
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