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Calculating the Area of a Circle: 12-Inch Diameter Example

Learn how to calculate the area of a 12-inch diameter circle using the formula A = πr².

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Video transcript

The area of a circle can be calculated using the formula A = πr². For a circle with a diameter of 12 inches, the radius is 6 inches. So, the area is 113.1 square inches (rounded to one decimal place).

Questions and answers

  1. How do you find the area of a circle?

    Use the formula A = πr², where 'r' is the radius of the circle.

  2. What is the area of a circle with a diameter of 10 inches?

    The area can be calculated as A = π(5²) = 78.5 square inches.

  3. Why is the area of a circle calculated using π?

    π is the ratio of the circumference of a circle to its diameter, which is fundamental in circle geometry.

  4. What is the radius of a circle with a diameter of 12 inches?

    The radius is half of the diameter, so the radius would be 6 inches.

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For more insights into geometry and related calculations, check out our videos on circumference and area of different shapes for a deeper understanding.