Radius of the circumcircle of a triangle Calculator

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Math	Geometry ↺
Geometry	2D Geometry ↺
2D-Geometry	Circle ↺
Circle	Radius of circumcircle ↺

✖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%

✖Radius is a radial line from the focus to any point of a curve.ⓘ Radius of the circumcircle of a triangle [r]

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Radius of the circumcircle of a triangle

Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 400+ more calculators!

Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has verified this Calculator and 400+ 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

< 11 Other formulas that calculate the same Output

Radius of the circumcircle of a triangle

Radius=((Side A)*(Side B)*(Side C))/4*(sqrt(Semiperimeter *(Semiperimeter -Side A)*(Semiperimeter -Side B)*(Semiperimeter -Side C))) GO

Radius Of The Orbit

Radius=(Quantum Number*Plancks Constant)/(2*pi*Mass*Velocity) GO

Bohr's Radius

Radius=(Quantum Number/Atomic number)*0.529*10^-10 GO

Inner radius of a hallow cylinder

Radius=(Inner curved surface area)/(2*pi*Height) GO

Radius of circle when area of sector and angle are given

Radius=(2*Area of Sector/Central Angle)^0.5 GO

Outer radius of hollow cylinder

Radius=(Outer surface area)/(2*pi*Height) GO

Radius of a circle when circumference is given

Radius=(Circumference of Circle)/(pi*2) GO

Radius of a circle when area is given

Radius=sqrt(Area of Circle/pi) GO

Radius of Sphere

Radius=(1/2)*sqrt(Area/pi) GO

Radius of the circumscribed circle of an equilateral triangle if given side

Radius=Side/sqrt(3) GO

Radius of a circle when diameter is given

Radius=Diameter /2 GO

Radius of the circumcircle of a triangle Formula

Radius=(Side A*Side B*Side C)/sqrt((Side A+Side B+Side C)*(Side A+Side B-Side C)*(Side A+Side C-Side B)*(Side B+Side C-Side A))
r=(a*b*c)/sqrt((a+b+c)*(a+b-c)*(a+c-b)*(b+c-a))

More formulas

Radius of the circumcircle of a triangle GO

Radius of the circumscribed circle of an equilateral triangle if given side GO

Radius of the circumscribed circle of an equilateral triangle if given height GO

Radius of the circumscribed circle of an isosceles triangle GO

Radius of the circumscribed circle of a right triangle when two sides are given GO

Radius of the circumscribed circle of a right triangle when given hypotenuse GO

Radius of the circumscribed circle of a rectangle given two sides GO

Radius of the circumscribed circle of a rectangle given diagonal GO

Radius of the circumcircle of a regular hexagon GO

Radius of the circumscribed circle of a square given side GO

Radius of the circumscribed circle of a square given GO

Radius of the circumscribed circle of an isosceles trapezoid if given sides and diagonal GO

Radius of the circumscribed circle of an isosceles trapezoid if given longer sides and diagonal GO

Radius of the circumscribed circle of a regular polygon GO

Radius of the circumscribed circle of an isosceles trapezoid if given semiperimeter and base length. GO

Radius of circumscribed circle of a isosceles trapezoid given semiperimeter and larger base length. GO

What is a circle

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called center. The different parts of a circle are radius, diameter, chord, tangent, arc, center, secant, sector. The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.

How to Calculate Radius of the circumcircle of a triangle?

Radius of the circumcircle of a triangle calculator uses Radius=(Side A*Side B*Side C)/sqrt((Side A+Side B+Side C)*(Side A+Side B-Side C)*(Side A+Side C-Side B)*(Side B+Side C-Side A)) to calculate the Radius, The Radius of the circumcircle of a triangle formula is defined as the radius of the circle circumscribing the triangle. Radius and is denoted by r symbol.

How to calculate Radius of the circumcircle of a triangle using this online calculator? To use this online calculator for Radius of the circumcircle of a triangle, enter Side A (a), Side B (b) and Side C (c) and hit the calculate button. Here is how the Radius of the circumcircle of a triangle calculation can be explained with given input values -> 400.0638 = (8*7*4)/sqrt((8+7+4)*(8+7-4)*(8+4-7)*(7+4-8)).

FAQ

What is Radius of the circumcircle of a triangle?

The Radius of the circumcircle of a triangle formula is defined as the radius of the circle circumscribing the triangle and is represented as r=(a*b*c)/sqrt((a+b+c)*(a+b-c)*(a+c-b)*(b+c-a)) or Radius=(Side A*Side B*Side C)/sqrt((Side A+Side B+Side C)*(Side A+Side B-Side C)*(Side A+Side C-Side B)*(Side B+Side C-Side A)). 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 Radius of the circumcircle of a triangle?

The Radius of the circumcircle of a triangle formula is defined as the radius of the circle circumscribing the triangle is calculated using Radius=(Side A*Side B*Side C)/sqrt((Side A+Side B+Side C)*(Side A+Side B-Side C)*(Side A+Side C-Side B)*(Side B+Side C-Side A)). To calculate Radius of the circumcircle of a triangle, 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 Radius?

In this formula, Radius uses Side A, Side B and Side C. We can use 11 other way(s) to calculate the same, which is/are as follows -

Radius=(Circumference of Circle)/(pi*2)
Radius=sqrt(Area of Circle/pi)
Radius=Diameter /2
Radius=(Quantum Number/Atomic number)*0.529*10^-10
Radius=(Quantum Number*Plancks Constant)/(2*pi*Mass*Velocity)
Radius=(1/2)*sqrt(Area/pi)
Radius=(2*Area of Sector/Central Angle)^0.5
Radius=(Inner curved surface area)/(2*pi*Height)
Radius=(Outer surface area)/(2*pi*Height)
Radius=((Side A)*(Side B)*(Side C))/4*(sqrt(Semiperimeter *(Semiperimeter -Side A)*(Semiperimeter -Side B)*(Semiperimeter -Side C)))
Radius=Side/sqrt(3)

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