Circumradius of a triangle given 3 sides Calculator

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Triangle

✖Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.ⓘ Side A [a]			+10% -10%
✖Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.ⓘ Side B [b]			+10% -10%
✖Side C is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.ⓘ Side C [c]			+10% -10%

✖Circumradius of Triangle is the radius of the circle inside which the triangle can be inscribedⓘ Circumradius of a triangle given 3 sides [R]

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Circumradius of a triangle given 3 sides

Venkata Sai Prasanna Aradhyula

Birla Institute of Technology & Science (BITS), Hyderabad

Venkata Sai Prasanna Aradhyula has created this Calculator and 25+ more calculators!

Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 200+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Radius of Inscribed Circle

Radius Of Inscribed Circle=sqrt((Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C)/Semiperimeter Of Triangle ) GO

Area of Triangle when semiperimeter is given

Area Of Triangle=sqrt(Semiperimeter Of Triangle *(Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C)) GO

Area of a Triangle when sides are given

Area=sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 GO

Radius of circumscribed circle

Radius Of Circumscribed Circle=(Side A*Side B*Side C)/(4*Area Of Triangle) GO

Side a of a triangle

Side A=sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A)) GO

Perimeter of a Right Angled Triangle

Perimeter=Side A+Side B+sqrt(Side A^2+Side B^2) GO

Perimeter of Triangle

Perimeter Of Triangle=Side A+Side B+Side C GO

Perimeter of a Parallelogram

Perimeter=2*Side A+2*Side B GO

Perimeter of a Kite

Perimeter=2*(Side A+Side B) GO

Perimeter of an Isosceles Triangle

Perimeter=Side A+2*Side B GO

Area of a Square when side is given

Area=(Side A)^2 GO

< 1 Other formulas that calculate the same Output

Circumradius of a triangle given 3 exradii and inradius

Circumradius of Triangle=(Exradius of excircle opposite ∠A+Exradius of excircle opposite ∠B+Exradius of excircle opposite ∠C-Inradius of Triangle)/4 GO

Circumradius of a triangle given 3 sides Formula

Circumradius of Triangle=(Side A*Side B*Side C)/sqrt((Side A+Side B+Side C)*(Side B-Side A+Side C)*(Side A-Side B+Side C)*(Side A+Side B-Side C))
R=(a*b*c)/sqrt((a+b+c)*(b-a+c)*(a-b+c)*(a+b-c))

More formulas

Heron's formula GO

Altitude/height of a triangle on side c given 3 sides GO

Length of median (on side c) of a triangle GO

Length of angle bisector of angle C GO

Distance between circumcenter and incenter by Euler's theorem GO

Circumradius of a triangle given 3 exradii and inradius GO

Inradius of a triangle given 3 exradii GO

Area of triangle formed by diagonal when area of parallelogram is given GO

Hypotenuse of a right angled triangle circumscribed by a circle GO

Side a of triangle given other two sides length and opposite angle GO

Side of a triangle given two angles and a side GO

What is a Circumcircle ?

Circumcircle is the circle that passes through all vertices (corner points) of a triangle. The center of the circumcircle is called the circumcenter, and the circle's radius is called the circumradius. The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect.

How to Calculate Circumradius of a triangle given 3 sides?

Circumradius of a triangle given 3 sides calculator uses Circumradius of Triangle=(Side A*Side B*Side C)/sqrt((Side A+Side B+Side C)*(Side B-Side A+Side C)*(Side A-Side B+Side C)*(Side A+Side B-Side C)) to calculate the Circumradius of Triangle, The Circumradius of a triangle given 3 sides formula is given by R = abc/sqrt((a+b+c)(-a+b+c)(a-b+c)(a+b-c)) where a, b, c are 3 sides of △ ABC. Circumradius of Triangle and is denoted by R symbol.

How to calculate Circumradius of a triangle given 3 sides using this online calculator? To use this online calculator for Circumradius of a triangle given 3 sides, enter Side A (a), Side B (b) and Side C (c) and hit the calculate button. Here is how the Circumradius of a triangle given 3 sides calculation can be explained with given input values -> 4.000638 = (8*7*4)/sqrt((8+7+4)*(7-8+4)*(8-7+4)*(8+7-4)).

FAQ

What is Circumradius of a triangle given 3 sides?

The Circumradius of a triangle given 3 sides formula is given by R = abc/sqrt((a+b+c)(-a+b+c)(a-b+c)(a+b-c)) where a, b, c are 3 sides of △ ABC and is represented as R=(a*b*c)/sqrt((a+b+c)*(b-a+c)*(a-b+c)*(a+b-c)) or Circumradius of Triangle=(Side A*Side B*Side C)/sqrt((Side A+Side B+Side C)*(Side B-Side A+Side C)*(Side A-Side B+Side C)*(Side A+Side B-Side C)). Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back, Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back and Side C is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.

How to calculate Circumradius of a triangle given 3 sides?

The Circumradius of a triangle given 3 sides formula is given by R = abc/sqrt((a+b+c)(-a+b+c)(a-b+c)(a+b-c)) where a, b, c are 3 sides of △ ABC is calculated using Circumradius of Triangle=(Side A*Side B*Side C)/sqrt((Side A+Side B+Side C)*(Side B-Side A+Side C)*(Side A-Side B+Side C)*(Side A+Side B-Side C)). To calculate Circumradius of a triangle given 3 sides, you need Side A (a), Side B (b) and Side C (c). With our tool, you need to enter the respective value for Side A, Side B and Side C and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Circumradius of Triangle?

In this formula, Circumradius of Triangle uses Side A, Side B and Side C. We can use 1 other way(s) to calculate the same, which is/are as follows -

Circumradius of Triangle=(Exradius of excircle opposite ∠A+Exradius of excircle opposite ∠B+Exradius of excircle opposite ∠C-Inradius of Triangle)/4

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