Height of Pentagon given Perimeter Calculator

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

+10%

-10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Pentagon Formula PDF PDF Image

Height of Pentagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Pentagon = Perimeter of Pentagon*sqrt(5+(2*sqrt(5)))/10
h = P*sqrt(5+(2*sqrt(5)))/10
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

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

STEP 1: Convert Input(s) to Base Unit

Perimeter of Pentagon: 50 Meter --> 50 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = P*sqrt(5+(2*sqrt(5)))/10 --> 50*sqrt(5+(2*sqrt(5)))/10

Evaluating ... ...

h = 15.3884176858763

STEP 3: Convert Result to Output's Unit

15.3884176858763 Meter --> No Conversion Required

FINAL ANSWER

15.3884176858763 ≈ 15.38842 Meter <-- Height of Pentagon

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Pentagon » Height of Pentagon » Height of Pentagon given Perimeter

Credits

Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

Divanshi Jain has created this Calculator and 300+ more calculators!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Calculator and 1500+ more calculators!

< Height of Pentagon Calculators

Height of Pentagon given Edge Length using Central Angle

LaTeX Go Height of Pentagon = Edge Length of Pentagon/2*(1+cos(pi/5))/sin(pi/5)

Height of Pentagon given Circumradius using Central Angle

LaTeX Go Height of Pentagon = Circumradius of Pentagon*(1+cos(pi/5))

Height of Pentagon given Inradius using Central angle

LaTeX Go Height of Pentagon = Inradius of Pentagon*(1+(1/cos(pi/5)))

Height of Pentagon given Circumradius and Inradius

LaTeX Go Height of Pentagon = Circumradius of Pentagon+Inradius of Pentagon

Height of Pentagon given Perimeter Formula

LaTeX Go

Height of Pentagon = Perimeter of Pentagon*sqrt(5+(2*sqrt(5)))/10
h = P*sqrt(5+(2*sqrt(5)))/10

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 Height of Pentagon given Perimeter?

Height of Pentagon given Perimeter calculator uses Height of Pentagon = Perimeter of Pentagon*sqrt(5+(2*sqrt(5)))/10 to calculate the Height of Pentagon, The Height of Pentagon given Perimeter formula is defined as the perpendicular distance from one of the vertices to the opposite edge of the Pentagon, calculated using the perimeter. Height of Pentagon is denoted by h symbol.

How to calculate Height of Pentagon given Perimeter using this online calculator? To use this online calculator for Height of Pentagon given Perimeter, enter Perimeter of Pentagon (P) and hit the calculate button. Here is how the Height of Pentagon given Perimeter calculation can be explained with given input values -> 15.38842 = 50*sqrt(5+(2*sqrt(5)))/10.

FAQ

What is Height of Pentagon given Perimeter?

The Height of Pentagon given Perimeter formula is defined as the perpendicular distance from one of the vertices to the opposite edge of the Pentagon, calculated using the perimeter and is represented as h = P*sqrt(5+(2*sqrt(5)))/10 or Height of Pentagon = Perimeter of Pentagon*sqrt(5+(2*sqrt(5)))/10. The Perimeter of Pentagon is the total distance around the edge of the Pentagon.

How to calculate Height of Pentagon given Perimeter?

The Height of Pentagon given Perimeter formula is defined as the perpendicular distance from one of the vertices to the opposite edge of the Pentagon, calculated using the perimeter is calculated using Height of Pentagon = Perimeter of Pentagon*sqrt(5+(2*sqrt(5)))/10. To calculate Height of Pentagon given Perimeter, you need Perimeter of Pentagon (P). With our tool, you need to enter the respective value for Perimeter 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 Height of Pentagon?

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

Height of Pentagon = Circumradius of Pentagon+Inradius of Pentagon
Height of Pentagon = Circumradius of Pentagon*(1+cos(pi/5))
Height of Pentagon = Inradius of Pentagon*(1+(1/cos(pi/5)))

Home

FREE PDFs

🔍 Search