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In a circle, if the radius is 7 cm, what is the area of the circle?

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Question: In a circle, if the radius is 7 cm, what is the area of the circle?

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 the formula A = πr². Therefore, A = π(7)² = 49π cm², which is approximately 154 cm².

In a circle, if the radius is 7 cm, what is the area of the circle?

Practice Questions

Q1
In a circle, if the radius is 7 cm, what is the area of the circle?
  1. 154 cm²
  2. 49 cm²
  3. 28 cm²
  4. 100 cm²

Questions & Step-by-Step Solutions

In a circle, if the radius is 7 cm, what is the area of the circle?
  • Step 1: Identify the radius of the circle. In this case, the radius (r) is 7 cm.
  • Step 2: Recall the formula for the area of a circle, which is A = πr².
  • Step 3: Substitute the radius into the formula. So, A = π(7)².
  • Step 4: Calculate (7)², which is 49.
  • Step 5: Now, substitute back into the formula: A = 49π cm².
  • 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.
  • 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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