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What is the area of a circle with a radius of 7 cm?

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Question: What is the area of a circle with a radius of 7 cm?

Options:

  1. 154 cm²
  2. 49 cm²
  3. 28 cm²
  4. 100 cm²

Correct Answer: 154 cm²

Solution: 

The area of a circle is given by A = πr². Thus, A = π(7)² = 49π ≈ 154 cm².

What is the area of a circle with a radius of 7 cm?

Practice Questions

Q1
What is the area of a circle with a radius of 7 cm?
  1. 154 cm²
  2. 49 cm²
  3. 28 cm²
  4. 100 cm²

Questions & Step-by-Step Solutions

What is the area of a circle with a radius of 7 cm?
  • Step 1: Identify the formula for the area of a circle, which is A = πr².
  • Step 2: Substitute the radius (r) into the formula. Here, the radius is 7 cm, so we have A = π(7)².
  • Step 3: Calculate (7)², which is 49.
  • Step 4: Now, substitute back into the formula: A = π(49).
  • Step 5: This simplifies to A = 49π.
  • Step 6: If you want a numerical approximation, use π ≈ 3.14. So, A ≈ 49 × 3.14.
  • Step 7: Calculate 49 × 3.14, which is approximately 154 cm².
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