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Circumradius of Equilateral Triangle given Semiperimeter Formula

GoCircumradius of Equilateral Triangle Formula

GoCircumradius of Equilateral Triangle given Height Formula

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The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices. Check FAQs

r c = \frac{2 \cdot s}{3 \cdot \sqrt{3}}

r_c - Circumradius of Equilateral Triangle?s - Semiperimeter of Equilateral Triangle?

Circumradius of Equilateral Triangle given Semiperimeter Example

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Here is how the Circumradius of Equilateral Triangle given Semiperimeter equation looks like with Values.

Here is how the Circumradius of Equilateral Triangle given Semiperimeter equation looks like with Units.

Here is how the Circumradius of Equilateral Triangle given Semiperimeter equation looks like.

4.6188 = \frac{2 \cdot 12}{3 \cdot \sqrt{3}}

4.6188m = \frac{2 \cdot 12m}{3 \cdot \sqrt{3}}

4.6188 = \frac{2 \cdot 12}{3 \cdot \sqrt{3}}

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Circumradius of Equilateral Triangle given Semiperimeter Solution

Follow our step by step solution on how to calculate Circumradius of Equilateral Triangle given Semiperimeter?

FIRST Step Consider the formula

r c = \frac{2 \cdot s}{3 \cdot \sqrt{3}}

Next Step Substitute values of Variables

∴

r c = \frac{2 \cdot 12m}{3 \cdot \sqrt{3}}

Next Step Prepare to Evaluate

∴

r c = \frac{2 \cdot 12}{3 \cdot \sqrt{3}}

Next Step Evaluate

∴

r c = 4.61880215351701m

LAST Step Rounding Answer

∴

r c = 4.6188m

Circumradius of Equilateral Triangle given Semiperimeter Formula Elements

Variables

Functions

Circumradius of Equilateral Triangle

The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Equilateral Triangle

Semiperimeter of Equilateral Triangle

The Semiperimeter of Equilateral triangle is half of the sum of the length of all sides of the triangle.

Symbol: s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Semiperimeter of Equilateral Triangle

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.

Syntax: sqrt(Number)

Other Formulas to find Circumradius of Equilateral Triangle

Go Circumradius of Equilateral Triangle

r c = \frac{l e}{\sqrt{3}}

Go Circumradius of Equilateral Triangle given Height

r c = \frac{2}{3} \cdot h

Go Circumradius of Equilateral Triangle given Area

r c = \sqrt{\frac{4 \cdot A}{3 \cdot \sqrt{3}}}

Go Circumradius of Equilateral Triangle given Perimeter

r c = \frac{P}{3 \cdot \sqrt{3}}

How to Evaluate Circumradius of Equilateral Triangle given Semiperimeter?

Circumradius of Equilateral Triangle given Semiperimeter evaluator uses Circumradius of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/(3*sqrt(3)) to evaluate the Circumradius of Equilateral Triangle, The Circumradius of Equilateral Triangle given Semiperimeter formula is defined as the radius of the circle circumscribing the Equilateral Triangle, calculated using semiperimeter. Circumradius of Equilateral Triangle is denoted by r_c symbol.

How to evaluate Circumradius of Equilateral Triangle given Semiperimeter using this online evaluator? To use this online evaluator for Circumradius of Equilateral Triangle given Semiperimeter, enter Semiperimeter of Equilateral Triangle (s) and hit the calculate button.

FAQs on Circumradius of Equilateral Triangle given Semiperimeter

What is the formula to find Circumradius of Equilateral Triangle given Semiperimeter?

The formula of Circumradius of Equilateral Triangle given Semiperimeter is expressed as Circumradius of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/(3*sqrt(3)). Here is an example- 4.618802 = (2*12)/(3*sqrt(3)).

How to calculate Circumradius of Equilateral Triangle given Semiperimeter?

With Semiperimeter of Equilateral Triangle (s) we can find Circumradius of Equilateral Triangle given Semiperimeter using the formula - Circumradius of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/(3*sqrt(3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Equilateral Triangle?

Here are the different ways to Calculate Circumradius of Equilateral Triangle-

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

Can the Circumradius of Equilateral Triangle given Semiperimeter be negative?

No, the Circumradius of Equilateral Triangle given Semiperimeter, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Equilateral Triangle given Semiperimeter?

Circumradius of Equilateral Triangle given Semiperimeter is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumradius of Equilateral Triangle given Semiperimeter can be measured.

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