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If a circle has a radius of 5 cm, what is its area?

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Question: If a circle has a radius of 5 cm, what is its area?

Options:

  1. 25π cm²
  2. 50π cm²
  3. 75π cm²
  4. 100π cm²

Correct Answer: 25π cm²

Solution: 

The area of a circle is given by the formula A = πr². Thus, A = π(5)² = 25π cm².

If a circle has a radius of 5 cm, what is its area?

Practice Questions

Q1
If a circle has a radius of 5 cm, what is its area?
  1. 25π cm²
  2. 50π cm²
  3. 75π cm²
  4. 100π cm²

Questions & Step-by-Step Solutions

If a circle has a radius of 5 cm, what is its area?
  • Step 1: Identify the radius of the circle. In this case, the radius (r) is 5 cm.
  • Step 2: Recall the formula for the area of a circle, which is A = πr².
  • Step 3: Substitute the radius into the formula. Replace r with 5 cm: A = π(5)².
  • Step 4: Calculate (5)², which is 25.
  • Step 5: Now, substitute back into the formula: A = 25π cm².
  • Step 6: The area of the circle is 25π 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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