Perimeter of Pentagon given Height Calculator

✖Height of Pentagon is the distance between one side of Pentagon and its opposite vertex.ⓘ Height of Pentagon [h]

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

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Perimeter of Pentagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Pentagon = 10*Height of Pentagon*tan(0.314)
P = 10*h*tan(0.314)
This formula uses 1 Functions, 2 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Perimeter of Pentagon - (Measured in Meter) - The Perimeter of Pentagon is the total distance around the edge of the Pentagon.
Height of Pentagon - (Measured in Meter) - Height of Pentagon is the distance between one side of Pentagon and its opposite vertex.

STEP 1: Convert Input(s) to Base Unit

Height of Pentagon: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 10*h*tan(0.314) --> 10*15*tan(0.314)

Evaluating ... ...

P = 48.7115438838723

STEP 3: Convert Result to Output's Unit

48.7115438838723 Meter --> No Conversion Required

FINAL ANSWER

48.7115438838723 ≈ 48.71154 Meter <-- Perimeter of Pentagon

(Calculation completed in 00.004 seconds)

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Created by Yashika Gupta

Indian Institute of Technology Mandi (IIT Mandi), Himachal pradesh

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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 Height Formula

LaTeX Go

Perimeter of Pentagon = 10*Height of Pentagon*tan(0.314)
P = 10*h*tan(0.314)

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 Height?

Perimeter of Pentagon given Height calculator uses Perimeter of Pentagon = 10*Height of Pentagon*tan(0.314) to calculate the Perimeter of Pentagon, The Perimeter of Pentagon given Height formula is defined as the summation of all the sides of Pentagon, where all the sides of Pentagon are equal of length ,calculated using height. Perimeter of Pentagon is denoted by P symbol.

How to calculate Perimeter of Pentagon given Height using this online calculator? To use this online calculator for Perimeter of Pentagon given Height, enter Height of Pentagon (h) and hit the calculate button. Here is how the Perimeter of Pentagon given Height calculation can be explained with given input values -> 48.71154 = 10*15*tan(0.314).

FAQ

What is Perimeter of Pentagon given Height?

The Perimeter of Pentagon given Height formula is defined as the summation of all the sides of Pentagon, where all the sides of Pentagon are equal of length ,calculated using height and is represented as P = 10*h*tan(0.314) or Perimeter of Pentagon = 10*Height of Pentagon*tan(0.314). Height of Pentagon is the distance between one side of Pentagon and its opposite vertex.

How to calculate Perimeter of Pentagon given Height?

The Perimeter of Pentagon given Height formula is defined as the summation of all the sides of Pentagon, where all the sides of Pentagon are equal of length ,calculated using height is calculated using Perimeter of Pentagon = 10*Height of Pentagon*tan(0.314). To calculate Perimeter of Pentagon given Height, you need Height of Pentagon (h). With our tool, you need to enter the respective value for Height 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 Height 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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