Base Area of Pentagonal Pyramid Calculator

✖Edge Length of Base of Pentagonal Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Pentagonal Pyramid.ⓘ Edge Length of Base of Pentagonal Pyramid [l_{e(Base)Pentagon}]

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✖Base Area of Pentagonal Pyramid is the total amount of two-dimensional space occupied on the base surface of the Pentagonal Pyramid.ⓘ Base Area of Pentagonal Pyramid [A_{Base(Pentagon)}]

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Base Area of Pentagonal Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Area of Pentagonal Pyramid = 1/4*sqrt(5*(5+(2*sqrt(5))))*Edge Length of Base of Pentagonal Pyramid^2
A_{Base(Pentagon)} = 1/4*sqrt(5*(5+(2*sqrt(5))))*l_{e(Base)Pentagon}^2
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

Base Area of Pentagonal Pyramid - (Measured in Square Meter) - Base Area of Pentagonal Pyramid is the total amount of two-dimensional space occupied on the base surface of the Pentagonal Pyramid.
Edge Length of Base of Pentagonal Pyramid - (Measured in Meter) - Edge Length of Base of Pentagonal Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Pentagonal Pyramid.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Base of Pentagonal Pyramid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_{Base(Pentagon)} = 1/4*sqrt(5*(5+(2*sqrt(5))))*l_{e(Base)Pentagon}^2 --> 1/4*sqrt(5*(5+(2*sqrt(5))))*10^2

Evaluating ... ...

A_{Base(Pentagon)} = 172.047740058897

STEP 3: Convert Result to Output's Unit

172.047740058897 Square Meter --> No Conversion Required

FINAL ANSWER

172.047740058897 ≈ 172.0477 Square Meter <-- Base Area of Pentagonal Pyramid

(Calculation completed in 00.008 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Pentagonal Pyramid Calculators

Total Surface Area of Pentagonal Pyramid

LaTeX Go Total Surface Area of Pentagonal Pyramid = (5/2*Edge Length of Base of Pentagonal Pyramid*Slant Height of Pentagonal Pyramid)+(5/4*tan(54*pi/180)*Edge Length of Base of Pentagonal Pyramid^2)

Volume of Pentagonal Pyramid

LaTeX Go Volume of Pentagonal Pyramid = 5/12*tan(54*pi/180)*Height of Pentagonal Pyramid*Edge Length of Base of Pentagonal Pyramid^2

Base Area of Pentagonal Pyramid

LaTeX Go Base Area of Pentagonal Pyramid = 1/4*sqrt(5*(5+(2*sqrt(5))))*Edge Length of Base of Pentagonal Pyramid^2

Lateral Surface Area of Pentagonal Pyramid

LaTeX Go Lateral Surface Area of Pentagonal Pyramid = 5/2*Edge Length of Base of Pentagonal Pyramid*Slant Height of Pentagonal Pyramid

Base Area of Pentagonal Pyramid Formula

LaTeX Go

Base Area of Pentagonal Pyramid = 1/4*sqrt(5*(5+(2*sqrt(5))))*Edge Length of Base of Pentagonal Pyramid^2
A_{Base(Pentagon)} = 1/4*sqrt(5*(5+(2*sqrt(5))))*l_{e(Base)Pentagon}^2

What is a Pentagonal Pyramid?

A Pentagonal Pyramid is a pyramid with a pentagonal base and five isosceles triangular faces that intersect at a point in geometry (the apex). It has 6 faces, which include 5 isosceles triangular faces and a pentagonal base. Also, It has 6 vertices and 10 edges.

How to Calculate Base Area of Pentagonal Pyramid?

Base Area of Pentagonal Pyramid calculator uses Base Area of Pentagonal Pyramid = 1/4*sqrt(5*(5+(2*sqrt(5))))*Edge Length of Base of Pentagonal Pyramid^2 to calculate the Base Area of Pentagonal Pyramid, The Base Area of Pentagonal Pyramid can be defined as the total amount of two-dimensional space occupied on the base surface of the Pentagonal Pyramid. Base Area of Pentagonal Pyramid is denoted by A_{Base(Pentagon)} symbol.

How to calculate Base Area of Pentagonal Pyramid using this online calculator? To use this online calculator for Base Area of Pentagonal Pyramid, enter Edge Length of Base of Pentagonal Pyramid (l_{e(Base)Pentagon}) and hit the calculate button. Here is how the Base Area of Pentagonal Pyramid calculation can be explained with given input values -> 172.0477 = 1/4*sqrt(5*(5+(2*sqrt(5))))*10^2.

FAQ

What is Base Area of Pentagonal Pyramid?

The Base Area of Pentagonal Pyramid can be defined as the total amount of two-dimensional space occupied on the base surface of the Pentagonal Pyramid and is represented as A_{Base(Pentagon)} = 1/4*sqrt(5*(5+(2*sqrt(5))))*l_{e(Base)Pentagon}^2 or Base Area of Pentagonal Pyramid = 1/4*sqrt(5*(5+(2*sqrt(5))))*Edge Length of Base of Pentagonal Pyramid^2. Edge Length of Base of Pentagonal Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Pentagonal Pyramid.

How to calculate Base Area of Pentagonal Pyramid?

The Base Area of Pentagonal Pyramid can be defined as the total amount of two-dimensional space occupied on the base surface of the Pentagonal Pyramid is calculated using Base Area of Pentagonal Pyramid = 1/4*sqrt(5*(5+(2*sqrt(5))))*Edge Length of Base of Pentagonal Pyramid^2. To calculate Base Area of Pentagonal Pyramid, you need Edge Length of Base of Pentagonal Pyramid (l_{e(Base)Pentagon}). With our tool, you need to enter the respective value for Edge Length of Base of Pentagonal Pyramid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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