Area of Hexadecagon given Height Calculator

✖Height of Hexadecagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Hexadecagon [h]

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✖Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.ⓘ Area of Hexadecagon given Height [A]

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Area of Hexadecagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Hexadecagon = 4*Height of Hexadecagon^2*tan(pi/16)
A = 4*h^2*tan(pi/16)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Area of Hexadecagon - (Measured in Square Meter) - Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.
Height of Hexadecagon - (Measured in Meter) - Height of Hexadecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Height of Hexadecagon: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 4*h^2*tan(pi/16) --> 4*25^2*tan(pi/16)

Evaluating ... ...

A = 497.280918449145

STEP 3: Convert Result to Output's Unit

497.280918449145 Square Meter --> No Conversion Required

FINAL ANSWER

497.280918449145 ≈ 497.2809 Square Meter <-- Area of Hexadecagon

(Calculation completed in 00.018 seconds)

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< Area of Hexadecagon Calculators

Area of Hexadecagon given Diagonal across Seven Sides

LaTeX Go Area of Hexadecagon = 4*(Diagonal across Seven Sides of Hexadecagon*sin(pi/16)/sin((7*pi)/16))^2*cot(pi/16)

Area of Hexadecagon given Diagonal across Six Sides

LaTeX Go Area of Hexadecagon = 4*(Diagonal across Six Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/8))^2*cot(pi/16)

Area of Hexadecagon given Diagonal across Eight Sides

LaTeX Go Area of Hexadecagon = 4*(Diagonal across Eight Sides of Hexadecagon*sin(pi/16))^2*cot(pi/16)

Area of Hexadecagon

LaTeX Go Area of Hexadecagon = 4*Side of Hexadecagon^2*cot(pi/16)

< Area of Hexadecagon Calculators

Area of Hexadecagon given Perimeter

LaTeX Go Area of Hexadecagon = 4*(Perimeter of Hexadecagon/16)^2*cot(pi/16)

Area of Hexadecagon given Height

LaTeX Go Area of Hexadecagon = 4*Height of Hexadecagon^2*tan(pi/16)

Area of Hexadecagon

LaTeX Go Area of Hexadecagon = 4*Side of Hexadecagon^2*cot(pi/16)

Area of Hexadecagon given Height Formula

LaTeX Go

Area of Hexadecagon = 4*Height of Hexadecagon^2*tan(pi/16)
A = 4*h^2*tan(pi/16)

What is Hexadecagon?

A Hexadecagon is a 16-sided polygon, in which all angles are equal and all sides are congruent. Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees. Hexadecagons are sometimes used in art and architecture.

How to Calculate Area of Hexadecagon given Height?

Area of Hexadecagon given Height calculator uses Area of Hexadecagon = 4*Height of Hexadecagon^2*tan(pi/16) to calculate the Area of Hexadecagon, The Area of Hexadecagon given Height formula is defined as the amount or quantity of space covered by Hexadecagon in the plane, calculated using height. Area of Hexadecagon is denoted by A symbol.

How to calculate Area of Hexadecagon given Height using this online calculator? To use this online calculator for Area of Hexadecagon given Height, enter Height of Hexadecagon (h) and hit the calculate button. Here is how the Area of Hexadecagon given Height calculation can be explained with given input values -> 497.2809 = 4*25^2*tan(pi/16).

FAQ

What is Area of Hexadecagon given Height?

The Area of Hexadecagon given Height formula is defined as the amount or quantity of space covered by Hexadecagon in the plane, calculated using height and is represented as A = 4*h^2*tan(pi/16) or Area of Hexadecagon = 4*Height of Hexadecagon^2*tan(pi/16). Height of Hexadecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Area of Hexadecagon given Height?

The Area of Hexadecagon given Height formula is defined as the amount or quantity of space covered by Hexadecagon in the plane, calculated using height is calculated using Area of Hexadecagon = 4*Height of Hexadecagon^2*tan(pi/16). To calculate Area of Hexadecagon given Height, you need Height of Hexadecagon (h). With our tool, you need to enter the respective value for Height of Hexadecagon 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 Hexadecagon?

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

Area of Hexadecagon = 4*Side of Hexadecagon^2*cot(pi/16)
Area of Hexadecagon = 4*(Diagonal across Eight Sides of Hexadecagon*sin(pi/16))^2*cot(pi/16)
Area of Hexadecagon = 4*(Diagonal across Seven Sides of Hexadecagon*sin(pi/16)/sin((7*pi)/16))^2*cot(pi/16)

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