Perimeter of Pentagon given Circumradius Calculator

✖The Circumradius of Pentagon is the radius of a circumcircle touching each of the vertices of Pentagon.ⓘ Circumradius of Pentagon [r_c]

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✖The Perimeter of Pentagon is the total distance around the edge of the Pentagon.ⓘ Perimeter of Pentagon given Circumradius [P]

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Perimeter of Pentagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Pentagon = 50*Circumradius of Pentagon/sqrt(50+(10*sqrt(5)))
P = 50*r_c/sqrt(50+(10*sqrt(5)))
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

Perimeter of Pentagon - (Measured in Meter) - The Perimeter of Pentagon is the total distance around the edge of the Pentagon.
Circumradius of Pentagon - (Measured in Meter) - The Circumradius of Pentagon is the radius of a circumcircle touching each of the vertices of Pentagon.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Pentagon: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 50*r_c/sqrt(50+(10*sqrt(5))) --> 50*9/sqrt(50+(10*sqrt(5)))

Evaluating ... ...

P = 52.9006727063226

STEP 3: Convert Result to Output's Unit

52.9006727063226 Meter --> No Conversion Required

FINAL ANSWER

52.9006727063226 ≈ 52.90067 Meter <-- Perimeter of Pentagon

(Calculation completed in 00.004 seconds)

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< Perimeter of Pentagon Calculators

Perimeter of Pentagon given Area

LaTeX Go Perimeter of Pentagon = 5*sqrt(4*Area of Pentagon/sqrt(25+(10*sqrt(5))))

Perimeter of Pentagon given Circumradius

LaTeX Go Perimeter of Pentagon = 50*Circumradius of Pentagon/sqrt(50+(10*sqrt(5)))

Perimeter of Pentagon given Inradius

LaTeX Go Perimeter of Pentagon = 50*Inradius of Pentagon/sqrt(25+(10*sqrt(5)))

Perimeter of Pentagon

LaTeX Go Perimeter of Pentagon = 5*Edge Length of Pentagon

Perimeter of Pentagon given Circumradius Formula

LaTeX Go

Perimeter of Pentagon = 50*Circumradius of Pentagon/sqrt(50+(10*sqrt(5)))
P = 50*r_c/sqrt(50+(10*sqrt(5)))

What is Pentagon?

A Pentagon shape is a flat shape or a flat (two-dimensional) 5-sided geometric shape. In geometry, it is considered as a five-sided polygon with five straight sides and five interior angles, which add up to 540°. Pentagons can be simple or self-intersecting. A simple pentagon (5-gon) must have five straight sides that meet to create five vertices but do not intersect with each other. A self-intersecting regular pentagon is called a pentagram.

How to Calculate Perimeter of Pentagon given Circumradius?

Perimeter of Pentagon given Circumradius calculator uses Perimeter of Pentagon = 50*Circumradius of Pentagon/sqrt(50+(10*sqrt(5))) to calculate the Perimeter of Pentagon, The Perimeter of Pentagon given Circumradius formula is defined as the summation of all the sides of Pentagon, where all the sides of Pentagon are of equal length, calculated using circumradius. Perimeter of Pentagon is denoted by P symbol.

How to calculate Perimeter of Pentagon given Circumradius using this online calculator? To use this online calculator for Perimeter of Pentagon given Circumradius, enter Circumradius of Pentagon (r_c) and hit the calculate button. Here is how the Perimeter of Pentagon given Circumradius calculation can be explained with given input values -> 52.90067 = 50*9/sqrt(50+(10*sqrt(5))).

FAQ

What is Perimeter of Pentagon given Circumradius?

The Perimeter of Pentagon given Circumradius formula is defined as the summation of all the sides of Pentagon, where all the sides of Pentagon are of equal length, calculated using circumradius and is represented as P = 50*r_c/sqrt(50+(10*sqrt(5))) or Perimeter of Pentagon = 50*Circumradius of Pentagon/sqrt(50+(10*sqrt(5))). The Circumradius of Pentagon is the radius of a circumcircle touching each of the vertices of Pentagon.

How to calculate Perimeter of Pentagon given Circumradius?

The Perimeter of Pentagon given Circumradius formula is defined as the summation of all the sides of Pentagon, where all the sides of Pentagon are of equal length, calculated using circumradius is calculated using Perimeter of Pentagon = 50*Circumradius of Pentagon/sqrt(50+(10*sqrt(5))). To calculate Perimeter of Pentagon given Circumradius, you need Circumradius of Pentagon (r_c). With our tool, you need to enter the respective value for Circumradius of Pentagon 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 Perimeter of Pentagon?

In this formula, Perimeter of Pentagon uses Circumradius of Pentagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Perimeter of Pentagon = 5*Edge Length of Pentagon
Perimeter of Pentagon = 5*sqrt(4*Area of Pentagon/sqrt(25+(10*sqrt(5))))
Perimeter of Pentagon = 50*Inradius of Pentagon/sqrt(25+(10*sqrt(5)))

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