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What is the area of a circle with a diameter of 12 cm?

Practice Questions

Q1
What is the area of a circle with a diameter of 12 cm?
  1. 36π cm²
  2. 144 cm²
  3. 12π cm²
  4. 24π cm²

Questions & Step-by-Step Solutions

What is the area of a circle with a diameter of 12 cm?
  • Step 1: Identify the diameter of the circle, which is given as 12 cm.
  • Step 2: Calculate the radius of the circle. The radius is half of the diameter, so divide 12 cm by 2. This gives you a radius of 6 cm.
  • Step 3: Use the formula for the area of a circle, which is Area = πr².
  • Step 4: Substitute the radius into the formula. Since the radius is 6 cm, the formula becomes Area = π(6)².
  • Step 5: Calculate (6)², which is 36.
  • Step 6: Multiply 36 by π to find the area. So, the area is 36π cm².
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