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Calculating the Area of a Circle: A Step-by-Step Guide

Learn how to calculate the area of a circle with a 10-inch diameter using a simple formula.

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Video transcript

The area of a 10-inch diameter circle can be calculated using the formula: Area = π * (radius)^2. The radius is half the diameter, so 5 inches. Therefore, the area is π * 5^2 = 25π square inches. Approximating π as 3.14, the area is about 78.5 square inches.

Questions and answers

  1. What is the formula for the area of a circle?

    The formula for the area of a circle is Area = π * (radius)^2.

  2. How do you find the radius from the diameter?

    The radius is half of the diameter; therefore, to find the radius, divide the diameter by 2.

  3. What is the area of a circle with a 12-inch diameter?

    To find the area, first calculate the radius which is 6 inches (12/2), then use the formula: Area = π * (6)^2 = 36π square inches, approximately 113.1 square inches.

  4. Why do we use π in circle calculations?

    π (pi) is the ratio of the circumference of a circle to its diameter, crucial in calculations involving circles.

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