Question 1

What is a Circumscribed Circle?

Accepted Answer

The circumscribed circle (circumcircle) of a triangle is the unique circle passing through all three vertices. The circumradius R is the radius of this circle.

Question 2

How does the Circumscribed Circle work?

Accepted Answer

R = (a × b × c) / (4 × Area) Then: Where Area = √(s(s−a)(s−b)(s−c)) by Heron's formula Then: s = (a + b + c) / 2 (semi-perimeter) Then: For a right triangle: R = hypotenuse / 2.

Question 3

Can you give an example of how to use the Circumscribed Circle?

Accepted Answer

Example: Input Triangle with sides 3, 4, 5 gives a result of R = (3×4×5)/(4×6) = 2.5.

Question 4

Is the Circumscribed Circle free to use?

Accepted Answer

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

Question 5

How accurate is the Circumscribed Circle?

Accepted Answer

Our Circumscribed Circle uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Circumscribed Circle

Circumscribed Circle (Circumradius)

What is Circumscribed Circle?

How to Use Circumscribed Circle

Example Circumscribed Circle Examples

Circumradius Examples

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