Exradius of Equilateral Triangle given Area Calculator

✖The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.ⓘ Area of Equilateral Triangle [A]

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✖Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.ⓘ Exradius of Equilateral Triangle given Area [r_e]

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Exradius of Equilateral Triangle given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))
r_e = sqrt(3)/2*sqrt((4*A)/(sqrt(3)))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Exradius of Equilateral Triangle - (Measured in Meter) - Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.
Area of Equilateral Triangle - (Measured in Square Meter) - The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.

STEP 1: Convert Input(s) to Base Unit

Area of Equilateral Triangle: 30 Square Meter --> 30 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_e = sqrt(3)/2*sqrt((4*A)/(sqrt(3))) --> sqrt(3)/2*sqrt((4*30)/(sqrt(3)))

Evaluating ... ...

r_e = 7.20843424240426

STEP 3: Convert Result to Output's Unit

7.20843424240426 Meter --> No Conversion Required

FINAL ANSWER

7.20843424240426 ≈ 7.208434 Meter <-- Exradius of Equilateral Triangle

(Calculation completed in 00.020 seconds)

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< Exradius of Equilateral Triangle Calculators

Exradius of Equilateral Triangle given Area

LaTeX Go Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))

Exradius of Equilateral Triangle given Perimeter

LaTeX Go Exradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))

Exradius of Equilateral Triangle

LaTeX Go Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle

Exradius of Equilateral Triangle given Height

LaTeX Go Exradius of Equilateral Triangle = Height of Equilateral Triangle/1

Exradius of Equilateral Triangle given Area Formula

LaTeX Go

Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))
r_e = sqrt(3)/2*sqrt((4*A)/(sqrt(3)))

What is Equilateral Triangle?

In geometry, an Equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

What is 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 Exradius of Equilateral Triangle given Area?

Exradius of Equilateral Triangle given Area calculator uses Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3))) to calculate the Exradius of Equilateral Triangle, The Exradius of Equilateral Triangle given Area formula is defined as the radius of an escribed circle of the equilateral triangle, calculated using area. Exradius of Equilateral Triangle is denoted by r_e symbol.

How to calculate Exradius of Equilateral Triangle given Area using this online calculator? To use this online calculator for Exradius of Equilateral Triangle given Area, enter Area of Equilateral Triangle (A) and hit the calculate button. Here is how the Exradius of Equilateral Triangle given Area calculation can be explained with given input values -> 7.208434 = sqrt(3)/2*sqrt((4*30)/(sqrt(3))).

FAQ

What is Exradius of Equilateral Triangle given Area?

The Exradius of Equilateral Triangle given Area formula is defined as the radius of an escribed circle of the equilateral triangle, calculated using area and is represented as r_e = sqrt(3)/2*sqrt((4*A)/(sqrt(3))) or Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3))). The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.

How to calculate Exradius of Equilateral Triangle given Area?

The Exradius of Equilateral Triangle given Area formula is defined as the radius of an escribed circle of the equilateral triangle, calculated using area is calculated using Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3))). To calculate Exradius of Equilateral Triangle given Area, you need Area of Equilateral Triangle (A). With our tool, you need to enter the respective value for Area of Equilateral 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 Exradius of Equilateral Triangle?

In this formula, Exradius of Equilateral Triangle uses Area of Equilateral Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Exradius of Equilateral Triangle = Height of Equilateral Triangle/1
Exradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))

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