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How to Calculate the Area from Circumference of a Circle

Learn how to find the area of a circle using its circumference with this simple formula and example.

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Video transcript

To find the area given the circumference of a circle, use the formula: A = C² / (4π). Here, 'C' is the circumference. First, calculate the radius: r = C / (2π). Then, determine the area: A = πr². For instance, if the circumference is 31.4 units, the radius is 5 units, and the area is 78.5 square units.

Questions and answers

  1. What is the formula for circle area?

    The formula for the area of a circle is A = πr², where r is the radius.

  2. How do you find the circumference of a circle?

    The circumference of a circle can be calculated using C = 2πr, where r is the radius.

  3. Can you derive the area from circumference?

    Yes, the area can be calculated from the circumference using the formula A = C² / (4π).

  4. What is the relationship between area and circumference?

    Area and circumference of a circle are related through the radius; knowing one allows you to calculate the other.

Related questions

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For more insights into geometry and problem-solving skills, check out our videos on other circle properties and related math concepts.