## Area of Pentagon given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5)))
A = h^2*sqrt(25+(10*sqrt(5)))/(5+(2*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
Area of Pentagon - (Measured in Square Meter) - The Area of Pentagon is the amount of two-dimensional space taken up by a 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
A = h^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))) --> 15^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5)))
Evaluating ... ...
A = 163.472068801206
STEP 3: Convert Result to Output's Unit
163.472068801206 Square Meter --> No Conversion Required
163.472068801206 163.4721 Square Meter <-- Area of Pentagon
(Calculation completed in 00.004 seconds)
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## <Area of Pentagon Calculators

Area of Pentagon
​ Go Area of Pentagon = Edge Length of Pentagon^2/4*sqrt(25+(10*sqrt(5)))
Area of Pentagon given Edge Length using Central Angle
​ Go Area of Pentagon = (5*Edge Length of Pentagon^2)/(4*tan(pi/5))
Area of Pentagon given Circumradius using Interior Angle
​ Go Area of Pentagon = 5/2*Circumradius of Pentagon^2*sin(3/5*pi)
Area of Pentagon given Edge Length and Inradius
​ Go Area of Pentagon = 5/2*Edge Length of Pentagon*Inradius of Pentagon

## Area of Pentagon given Height Formula

Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5)))
A = h^2*sqrt(25+(10*sqrt(5)))/(5+(2*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 Area of Pentagon given Height?

Area of Pentagon given Height calculator uses Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))) to calculate the Area of Pentagon, The Area of Pentagon given Height formula is defined as the amount of 2-dimensional space occupied by a Pentagon, calculated using height. Area of Pentagon is denoted by A symbol.

How to calculate Area of Pentagon given Height using this online calculator? To use this online calculator for Area of Pentagon given Height, enter Height of Pentagon (h) and hit the calculate button. Here is how the Area of Pentagon given Height calculation can be explained with given input values -> 163.4721 = 15^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))).

### FAQ

What is Area of Pentagon given Height?
The Area of Pentagon given Height formula is defined as the amount of 2-dimensional space occupied by a Pentagon, calculated using height and is represented as A = h^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))) or Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))). Height of Pentagon is the distance between one side of Pentagon and its opposite vertex.
How to calculate Area of Pentagon given Height?
The Area of Pentagon given Height formula is defined as the amount of 2-dimensional space occupied by a Pentagon, calculated using height is calculated using Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))). To calculate Area 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 Area of Pentagon?
In this formula, Area of Pentagon uses Height of Pentagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
• Area of Pentagon = Edge Length of Pentagon^2/4*sqrt(25+(10*sqrt(5)))
• Area of Pentagon = (5*Edge Length of Pentagon^2)/(4*tan(pi/5))
• Area of Pentagon = 5/2*Circumradius of Pentagon^2*sin(3/5*pi)
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