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If the diameter of a circle is 12 cm, what is the area of the circle?

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Question: If the diameter of a circle is 12 cm, what is the area of the circle?

Options:

  1. 36π cm²
  2. 144π cm²
  3. 72π cm²
  4. 24π cm²

Correct Answer: 72π cm²

Solution: 

The radius r is half of the diameter, so r = 12/2 = 6 cm. The area A = πr² = π(6)² = 36π cm².

If the diameter of a circle is 12 cm, what is the area of the circle?

Practice Questions

Q1
If the diameter of a circle is 12 cm, what is the area of the circle?
  1. 36π cm²
  2. 144π cm²
  3. 72π cm²
  4. 24π cm²

Questions & Step-by-Step Solutions

If the diameter of a circle is 12 cm, what is the area of the circle?
  • Step 1: Identify the diameter of the circle, which is given as 12 cm.
  • Step 2: Calculate the radius by dividing the diameter by 2. So, radius r = 12 cm / 2 = 6 cm.
  • Step 3: Use the formula for the area of a circle, which is A = πr².
  • Step 4: Substitute the radius into the formula. So, A = π(6 cm)².
  • Step 5: Calculate (6 cm)², which is 36 cm².
  • Step 6: Multiply by π to find the area. So, A = 36π cm².
  • Circle Geometry – Understanding the relationship between diameter, radius, and area of a circle.
  • Area Calculation – Applying the formula for the area of a circle, A = πr².
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