About the Circumradius Area
The circumradius is the radius of the circumcircle passing through all three vertices.
This formula is useful when the three side lengths and circumradius are known.
The side lengths must satisfy the triangle inequality.
Calculate the area of a triangle from its three side lengths and circumradius using A = abc divided by 4R.
Fill in the details and click Calculate to see your results.
The circumradius is the radius of the circumcircle passing through all three vertices.
This formula is useful when the three side lengths and circumradius are known.
The side lengths must satisfy the triangle inequality.
| Side a | 3 cm |
| Side b | 4 cm |
| Side c | 5 cm |
| Circumradius R | 2.5 cm |
| Triangle Area | 6 |
| Valid Triangle | 1 |
The calculated area is 6 square centimetres.
Try this example →Area equals abc divided by 4R.
It is the radius of the circle passing through all three vertices of the triangle.
They must satisfy the triangle inequality.
It is half the hypotenuse, so it is 2.5 units.