Perimeter of Pentagon given Inradius Calculator

✖The Inradius of Pentagon is defined as the radius of the circle which is inscribed inside the Pentagon.ⓘ Inradius of Pentagon [r_i]

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

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Perimeter of Pentagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Pentagon = 50*Inradius of Pentagon/sqrt(25+(10*sqrt(5)))
P = 50*r_i/sqrt(25+(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.
Inradius of Pentagon - (Measured in Meter) - The Inradius of Pentagon is defined as the radius of the circle which is inscribed inside the Pentagon.

STEP 1: Convert Input(s) to Base Unit

Inradius of Pentagon: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 50*r_i/sqrt(25+(10*sqrt(5))) --> 50*7/sqrt(25+(10*sqrt(5)))

Evaluating ... ...

P = 50.8579769603753

STEP 3: Convert Result to Output's Unit

50.8579769603753 Meter --> No Conversion Required

FINAL ANSWER

50.8579769603753 ≈ 50.85798 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 Inradius Formula

LaTeX Go

Perimeter of Pentagon = 50*Inradius of Pentagon/sqrt(25+(10*sqrt(5)))
P = 50*r_i/sqrt(25+(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 Inradius?

Perimeter of Pentagon given Inradius calculator uses Perimeter of Pentagon = 50*Inradius of Pentagon/sqrt(25+(10*sqrt(5))) to calculate the Perimeter of Pentagon, The Perimeter of Pentagon given Inradius formula is defined as the summation of all the sides of Pentagon, where all the sides of Pentagon are of equal length ,calculated using inradius. Perimeter of Pentagon is denoted by P symbol.

How to calculate Perimeter of Pentagon given Inradius using this online calculator? To use this online calculator for Perimeter of Pentagon given Inradius, enter Inradius of Pentagon (r_i) and hit the calculate button. Here is how the Perimeter of Pentagon given Inradius calculation can be explained with given input values -> 50.85798 = 50*7/sqrt(25+(10*sqrt(5))).

FAQ

What is Perimeter of Pentagon given Inradius?

The Perimeter of Pentagon given Inradius formula is defined as the summation of all the sides of Pentagon, where all the sides of Pentagon are of equal length ,calculated using inradius and is represented as P = 50*r_i/sqrt(25+(10*sqrt(5))) or Perimeter of Pentagon = 50*Inradius of Pentagon/sqrt(25+(10*sqrt(5))). The Inradius of Pentagon is defined as the radius of the circle which is inscribed inside the Pentagon.

How to calculate Perimeter of Pentagon given Inradius?

The Perimeter of Pentagon given Inradius formula is defined as the summation of all the sides of Pentagon, where all the sides of Pentagon are of equal length ,calculated using inradius is calculated using Perimeter of Pentagon = 50*Inradius of Pentagon/sqrt(25+(10*sqrt(5))). To calculate Perimeter of Pentagon given Inradius, you need Inradius of Pentagon (r_i). With our tool, you need to enter the respective value for Inradius 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 Inradius 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*Circumradius of Pentagon/sqrt(50+(10*sqrt(5)))

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