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

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

Options:

Correct Answer: 36π cm²

Solution:

Area = πr² = π(6)² = 36π cm².

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

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.

Area of a Circle – The area of a circle is calculated using the formula A = πr², where r is the radius. The radius is half of the diameter.