Area of triangle given circumradius and sides Calculator

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✖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 Triangle [R]			+10% -10%

✖The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.ⓘ Area of triangle given circumradius and sides [A]

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Area of triangle given circumradius and sides

Venkata Sai Prasanna Aradhyula

Birla Institute of Technology & Science (BITS), Hyderabad

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

Aditya Ranjan

Indian Institute of Technology (IIT), Mumbai

Aditya Ranjan has verified this Calculator and 50+ 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

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 triangle given 3 exradii and inradius

Area Of Triangle=sqrt(Exradius of excircle opposite ∠A*Exradius of excircle opposite ∠B*Exradius of excircle opposite ∠C*Inradius of Triangle) GO

Area of Triangle given 2 angles and third side

Area Of Triangle=(Side A^2*sin(Angle B)*sin(Angle C))/(2*sin((180*pi/180)-Angle B-Angle C)) GO

Area of triangle given semiperimeter, one side and its exradius

Area Of Triangle=Exradius of excircle opposite ∠A*(Semiperimeter Of Triangle -Side A) GO

Area of triangle given 3 points

Area Of Triangle=modulus(1/2*((y1*(x3-x2))+(y2*(x1-x3))+(y3*(x2-x1)))) GO

Area of triangle given inradius and semiperimeter

Area Of Triangle=Inradius of Triangle*Semiperimeter Of Triangle GO

Area of an isosceles triangle

Area Of Triangle=(sqrt((Side A)^2-((Side B)^2/4)))*(Side B/2) GO

Area of an isosceles triangle when length sides and angle between them are given

Area Of Triangle=(Side A*Side B*sin(Theta))/2 GO

Area of triangle given 2 sides and third angle

Area Of Triangle=Side A*Side B*sin(Angle C)/2 GO

Area of an equilateral triangle

Area Of Triangle=(sqrt(3)*(Side)^2)/4 GO

Area of an isosceles right angle triangle

Area Of Triangle=(Side A)^2/2 GO

Area of triangle given circumradius and sides Formula

Area Of Triangle=(Side A*Side B*Side C)/(4*Circumradius of Triangle)
A=(a*b*c)/(4*R)

More formulas

Area of a Triangle when base and height are given GO

Area of a Triangle when sides are given GO

Area of Triangle given 2 angles and third side GO

Area of triangle given 2 sides and third angle GO

Area of triangle given inradius and semiperimeter GO

Area of triangle given 3 exradii and inradius GO

Area of triangle given semiperimeter, one side and its exradius GO

What is the area of a triangle ?

△ABC be a triangle whose sides are of lengths a,b,c. Then the area A of △ABC is given by A=abc/4R where R is the circumradius of △ABC.

How to Calculate Area of triangle given circumradius and sides?

Area of triangle given circumradius and sides calculator uses Area Of Triangle=(Side A*Side B*Side C)/(4*Circumradius of Triangle) to calculate the Area Of Triangle, The Area of triangle given circumradius and sides formula is given by A = abc/4R where a, b, c are lengths of sides of the triangle and R is the circumradius of the triangle. Area Of Triangle and is denoted by A symbol.

How to calculate Area of triangle given circumradius and sides using this online calculator? To use this online calculator for Area of triangle given circumradius and sides, enter Side A (a), Side B (b), Side C (c) and Circumradius of Triangle (R) and hit the calculate button. Here is how the Area of triangle given circumradius and sides calculation can be explained with given input values -> 28 = (8*7*4)/(4*2).

FAQ

What is Area of triangle given circumradius and sides?

The Area of triangle given circumradius and sides formula is given by A = abc/4R where a, b, c are lengths of sides of the triangle and R is the circumradius of the triangle and is represented as A=(a*b*c)/(4*R) or Area Of Triangle=(Side A*Side B*Side C)/(4*Circumradius of 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 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 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 and Circumradius of Triangle is the radius of the circle inside which the triangle can be inscribed.

How to calculate Area of triangle given circumradius and sides?

The Area of triangle given circumradius and sides formula is given by A = abc/4R where a, b, c are lengths of sides of the triangle and R is the circumradius of the triangle is calculated using Area Of Triangle=(Side A*Side B*Side C)/(4*Circumradius of Triangle). To calculate Area of triangle given circumradius and sides, you need Side A (a), Side B (b), Side C (c) and Circumradius of Triangle (R). With our tool, you need to enter the respective value for Side A, Side B, Side C and Circumradius of Triangle 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 Area Of Triangle?

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

Area Of Triangle=sqrt(Semiperimeter Of Triangle *(Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C))
Area Of Triangle=(sqrt((Side A)^2-((Side B)^2/4)))*(Side B/2)
Area Of Triangle=(Side A*Side B*sin(Theta))/2
Area Of Triangle=(Side A)^2/2
Area Of Triangle=(sqrt(3)*(Side)^2)/4
Area Of Triangle=modulus(1/2*((y1*(x3-x2))+(y2*(x1-x3))+(y3*(x2-x1))))
Area Of Triangle=(Side A^2*sin(Angle B)*sin(Angle C))/(2*sin((180*pi/180)-Angle B-Angle C))
Area Of Triangle=Side A*Side B*sin(Angle C)/2
Area Of Triangle=Inradius of Triangle*Semiperimeter Of Triangle
Area Of Triangle=sqrt(Exradius of excircle opposite ∠A*Exradius of excircle opposite ∠B*Exradius of excircle opposite ∠C*Inradius of Triangle)
Area Of Triangle=Exradius of excircle opposite ∠A*(Semiperimeter Of Triangle -Side A)

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