Semiperimeter of Equilateral Triangle given Exradius Calculator

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

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✖The Semiperimeter of Equilateral triangle is half of the sum of the length of all sides of the triangle.ⓘ Semiperimeter of Equilateral Triangle given Exradius [s]

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Semiperimeter of Equilateral Triangle given Exradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Semiperimeter of Equilateral Triangle = sqrt(3)*Exradius of Equilateral Triangle
s = sqrt(3)*r_e
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

Semiperimeter of Equilateral Triangle - (Measured in Meter) - The Semiperimeter of Equilateral triangle is half of the sum of the length of all sides of the triangle.
Exradius of Equilateral Triangle - (Measured in Meter) - Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.

STEP 1: Convert Input(s) to Base Unit

Exradius of Equilateral Triangle: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = sqrt(3)*r_e --> sqrt(3)*7

Evaluating ... ...

s = 12.1243556529821

STEP 3: Convert Result to Output's Unit

12.1243556529821 Meter --> No Conversion Required

FINAL ANSWER

12.1243556529821 ≈ 12.12436 Meter <-- Semiperimeter of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Semiperimeter of Equilateral Triangle Calculators

Semiperimeter of Equilateral Triangle given Area

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

Semiperimeter of Equilateral Triangle given Circumradius

LaTeX Go Semiperimeter of Equilateral Triangle = (3*sqrt(3))/2*Circumradius of Equilateral Triangle

Semiperimeter of Equilateral Triangle given Height

LaTeX Go Semiperimeter of Equilateral Triangle = sqrt(3)*Height of Equilateral Triangle

Semiperimeter of Equilateral Triangle

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

Semiperimeter of Equilateral Triangle given Exradius Formula

LaTeX Go

Semiperimeter of Equilateral Triangle = sqrt(3)*Exradius of Equilateral Triangle
s = sqrt(3)*r_e

What is an 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°.

How Semiperimeter is calculated?

Its Semiperimeter is calculated by the formula S = 3a/2 where S is the semi perimeter of an equilateral triangle and a is the length of the side of the triangle.

How to Calculate Semiperimeter of Equilateral Triangle given Exradius?

Semiperimeter of Equilateral Triangle given Exradius calculator uses Semiperimeter of Equilateral Triangle = sqrt(3)*Exradius of Equilateral Triangle to calculate the Semiperimeter of Equilateral Triangle, The Semiperimeter of Equilateral Triangle given Exradius formula is defined as half of the sum of the length of all sides of an Equilateral Triangle, which is also half of the perimeter of the triangle, calculated using exradius. Semiperimeter of Equilateral Triangle is denoted by s symbol.

How to calculate Semiperimeter of Equilateral Triangle given Exradius using this online calculator? To use this online calculator for Semiperimeter of Equilateral Triangle given Exradius, enter Exradius of Equilateral Triangle (r_e) and hit the calculate button. Here is how the Semiperimeter of Equilateral Triangle given Exradius calculation can be explained with given input values -> 12.12436 = sqrt(3)*7.

FAQ

What is Semiperimeter of Equilateral Triangle given Exradius?

How to calculate Semiperimeter of Equilateral Triangle given Exradius?

The Semiperimeter of Equilateral Triangle given Exradius formula is defined as half of the sum of the length of all sides of an Equilateral Triangle, which is also half of the perimeter of the triangle, calculated using exradius is calculated using Semiperimeter of Equilateral Triangle = sqrt(3)*Exradius of Equilateral Triangle. To calculate Semiperimeter of Equilateral Triangle given Exradius, you need Exradius of Equilateral Triangle (r_e). With our tool, you need to enter the respective value for Exradius 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 Semiperimeter of Equilateral Triangle?

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

Semiperimeter of Equilateral Triangle = (3*sqrt(3))/2*Circumradius of Equilateral Triangle
Semiperimeter of Equilateral Triangle = (3*Edge Length of Equilateral Triangle)/2
Semiperimeter of Equilateral Triangle = 3/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3))

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