Ex-radius of an equilateral triangle Calculator

Category	Math ↺
Math	Geometry ↺
Geometry	2D Geometry ↺
2D-Geometry	Triangle ↺
Triangle	Equilateral 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%

✖Exradius of Equilateral Triangle is the radius of one of the excircles of equilateral triangleⓘ Ex-radius of an equilateral triangle [r₁]

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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 b of a triangle

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

Ex-radius of an equilateral triangle Formula

Exradius of Equilateral Triangle=sqrt(3)*Side A/2
r<sub>1</sub>=sqrt(3)*a/2

More formulas

Heron's formula GO

Semiperimeter of an equilateral triangle GO

Area of an equilateral triangle GO

Altitude of an equilateral triangle GO

Median of an equilateral triangle GO

Angle bisector of an equilateral triangle GO

Radius of the circumscribed circle of an equilateral triangle GO

Radius of the inscribed circle of an equilateral triangle GO

Side of a triangle circumscribed by a circle GO

Height of a equilateral triangle circumscribed by a circle GO

What is an exradius of an equilateral triangle ?

An excircle or escribed circle of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two. Every triangle has three distinct excircles, each tangent to one of the triangle's sides. For an equilateral triangle, all 3 ex radii will be equal.

How to Calculate Ex-radius of an equilateral triangle?

Ex-radius of an equilateral triangle calculator uses Exradius of Equilateral Triangle=sqrt(3)*Side A/2 to calculate the Exradius of Equilateral Triangle, The Ex-radius of an equilateral triangle formula is given by r₁ = √3a/2 where a is the side of an equilateral triangle. Exradius of Equilateral Triangle and is denoted by r₁ symbol.

How to calculate Ex-radius of an equilateral triangle using this online calculator? To use this online calculator for Ex-radius of an equilateral triangle, enter Side A (a) and hit the calculate button. Here is how the Ex-radius of an equilateral triangle calculation can be explained with given input values -> 6.928203 = sqrt(3)*8/2.

FAQ

What is Ex-radius of an equilateral triangle?

The Ex-radius of an equilateral triangle formula is given by r₁ = √3a/2 where a is the side of an equilateral triangle and is represented as r₁=sqrt(3)*a/2 or Exradius of Equilateral Triangle=sqrt(3)*Side A/2. 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.

How to calculate Ex-radius of an equilateral triangle?

The Ex-radius of an equilateral triangle formula is given by r₁ = √3a/2 where a is the side of an equilateral triangle is calculated using Exradius of Equilateral Triangle=sqrt(3)*Side A/2. To calculate Ex-radius of an equilateral triangle, you need Side A (a). With our tool, you need to enter the respective value for Side A and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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