Geometry & ShapesFree Tool

Circumscribed Circle Calculator

Provided byOmni Calculatoromnicalculator.com

The circumscribed circle calculator will help you study the circumradius as well as other properties of the circle ci...

Screenshot of Circumscribed Circle Calculator on Omni Calculator
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About this tool

What Circumscribed Circle Calculator does

A circumscribed circle calculator determines the radius, diameter, area, and circumference of the circle that passes through all three vertices of a triangle. Users can input either the three side lengths or the coordinates of the triangle's vertices to receive the circumradius and related measurements. The tool provides a straightforward way to compute these geometric properties without manual calculation, making it useful for students, educators, and anyone working with triangle geometry. It outputs the key dimensions of the circumscribed circle directly from the provided inputs.

Step by step

How to use the Omni Calculator Circumscribed Circle Calculator

  1. 1

    Select whether to input side lengths or vertex coordinates

  2. 2

    Enter the three side lengths or the x and y coordinates for each vertex

  3. 3

    The calculator automatically computes the circumradius, diameter, area, and circumference

  4. 4

    Review the output values for the circle's dimensions and properties

Is it right for you

Best for

Students, educators, and anyone needing quick circumradius calculations for triangles defined by side lengths or coordinate points.

Limitations

  • Results are estimates based on input precision
  • No unit conversion or switching available
  • Requires valid triangle side lengths or coordinate points
Questions

Circumscribed Circle Calculator FAQ

Can I use this calculator if I only know two sides and an angle?
No, the tool requires either all three side lengths or the coordinates of all three vertices to compute the circumscribed circle.
What units are used for the output values?
The calculator outputs the radius, diameter, area, and circumference based on the units of the input values; consistent units should be used for all three sides or coordinates.
Does the calculator handle right triangles differently?
The circumradius formula applies to all triangles, including right triangles, where the hypotenuse equals the diameter of the circumscribed circle.
Is the result the actual size of the circle or just an estimate?
The result is a precise calculation based on the input values; accuracy depends on the precision of the numbers entered.
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