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

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Question: What is the area of a circle with a diameter of 12 units?

Options:

  1. 36π square units
  2. 144π square units
  3. 24π square units
  4. 48π square units

Correct Answer: 36π square units

Solution: 

The radius is 6 units (diameter/2). Area = πr² = π(6)² = 36π square units.

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

Practice Questions

Q1
What is the area of a circle with a diameter of 12 units?
  1. 36π square units
  2. 144π square units
  3. 24π square units
  4. 48π square units

Questions & Step-by-Step Solutions

What is the area of a circle with a diameter of 12 units?
  • Step 1: Identify the diameter of the circle, which is given as 12 units.
  • Step 2: Calculate the radius by dividing the diameter by 2. So, radius = 12 units / 2 = 6 units.
  • Step 3: Use the formula for the area of a circle, which is Area = πr².
  • Step 4: Substitute the radius into the formula. So, Area = π(6)².
  • Step 5: Calculate (6)², which is 36.
  • Step 6: Multiply by π. So, Area = 36π square units.
  • Area of a Circle – The area of a circle is calculated using the formula A = πr², where r is the radius.
  • Diameter and Radius Relationship – The radius is half of the diameter, which is crucial for calculating the area.
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