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

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

Options:

Correct Answer: 113.04 cm²

Solution:

Radius = diameter / 2 = 12 / 2 = 6 cm. Area = πr² = π(6)² = 36π ≈ 113.04 cm².

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

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

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 = 12 cm / 2 = 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. So, Area = π(6 cm)².
Step 5: Calculate (6 cm)², which is 36 cm².
Step 6: Multiply by π to find the area. So, Area = 36π cm².
Step 7: If needed, approximate the area using π ≈ 3.14. So, Area ≈ 36 * 3.14 ≈ 113.04 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) correctly.