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If a circle has a radius of 4 cm, what is the area of the circle?

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Question: If a circle has a radius of 4 cm, what is the area of the circle?

Options:

  1. 8π cm²
  2. 12π cm²
  3. 16π cm²
  4. 20π cm²

Correct Answer: 16π cm²

Solution: 

The area A of a circle is given by A = πr². Therefore, A = π(4)² = 16π cm².

If a circle has a radius of 4 cm, what is the area of the circle?

Practice Questions

Q1
If a circle has a radius of 4 cm, what is the area of the circle?
  1. 8π cm²
  2. 12π cm²
  3. 16π cm²
  4. 20π cm²

Questions & Step-by-Step Solutions

If a circle has a radius of 4 cm, what is the area of the circle?
  • Step 1: Identify the formula for the area of a circle, which is A = πr².
  • Step 2: Find the radius of the circle, which is given as 4 cm.
  • Step 3: Substitute the radius into the formula: A = π(4)².
  • Step 4: Calculate (4)², which is 16.
  • Step 5: Multiply 16 by π to get the area: A = 16π cm².
  • Area of a Circle – The area of a circle is calculated using the formula A = πr², where r is the radius.
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