How to Calculate the Radius of a Semicircle Using Area

Learn how to find the radius of a semicircle without a diameter using area. Easy to follow steps and formula included.

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To find the radius of a semicircle without the diameter, you can use the formula for the area of a circle. If you know the area (A) of the semicircle, double it to get the area of the full circle, then apply the formula: A = πr². Rearrange to find the radius (r): r = √(A/π). Simply put, if the area of your semicircle is A, then the radius r is found using r = √(2A/π).

FAQs & Answers

  1. What is the formula for the area of a semicircle? The area of a semicircle is given by the formula A = (1/2)πr², where r is the radius.
  2. Can you find the radius from the circumference of a semicircle? Yes, the radius can be derived from the semicircle's circumference using the formula: r = C/(π), where C is the circumference.
  3. What is the difference between a semicircle and a full circle? A semicircle is half of a circle, having half the area and circumference of a full circle.

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For more insights into geometry and mathematical concepts, check out our other tutorials on circle properties and formulas, or dive deeper into area calculations.

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