Area of Hexadecagon given Diagonal across Five Sides Calculator

✖Diagonal across Five Sides of Hexadecagon is the straight line joining two non-adjacent vertices across five sides of Hexadecagon.ⓘ Diagonal across Five Sides of Hexadecagon [d₅]

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✖Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.ⓘ Area of Hexadecagon given Diagonal across Five Sides [A]

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Area of Hexadecagon given Diagonal across Five Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Hexadecagon = 4*(Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16)
A = 4*(d₅*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16)
This formula uses 1 Constants, 2 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)

Variables Used

Area of Hexadecagon - (Measured in Square Meter) - Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.
Diagonal across Five Sides of Hexadecagon - (Measured in Meter) - Diagonal across Five Sides of Hexadecagon is the straight line joining two non-adjacent vertices across five sides of Hexadecagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Five Sides of Hexadecagon: 21 Meter --> 21 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 4*(d₅*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16) --> 4*(21*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16)

Evaluating ... ...

A = 488.21990550457

STEP 3: Convert Result to Output's Unit

488.21990550457 Square Meter --> No Conversion Required

FINAL ANSWER

488.21990550457 ≈ 488.2199 Square Meter <-- Area of Hexadecagon

(Calculation completed in 00.020 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 given Diagonal across Five Sides Formula

LaTeX Go

Area of Hexadecagon = 4*(Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16)
A = 4*(d₅*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16)

What is a 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 Diagonal across Five Sides?

Area of Hexadecagon given Diagonal across Five Sides calculator uses Area of Hexadecagon = 4*(Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16) to calculate the Area of Hexadecagon, The Area of Hexadecagon given Diagonal across Five Sides formula is defined as the amount or quantity of space occupied by a Hexadecagon in the plane, calculated using a diagonal across five sides. Area of Hexadecagon is denoted by A symbol.

How to calculate Area of Hexadecagon given Diagonal across Five Sides using this online calculator? To use this online calculator for Area of Hexadecagon given Diagonal across Five Sides, enter Diagonal across Five Sides of Hexadecagon (d₅) and hit the calculate button. Here is how the Area of Hexadecagon given Diagonal across Five Sides calculation can be explained with given input values -> 488.2199 = 4*(21*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16).

FAQ

What is Area of Hexadecagon given Diagonal across Five Sides?

The Area of Hexadecagon given Diagonal across Five Sides formula is defined as the amount or quantity of space occupied by a Hexadecagon in the plane, calculated using a diagonal across five sides and is represented as A = 4*(d₅*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16) or Area of Hexadecagon = 4*(Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16). Diagonal across Five Sides of Hexadecagon is the straight line joining two non-adjacent vertices across five sides of Hexadecagon.

How to calculate Area of Hexadecagon given Diagonal across Five Sides?

The Area of Hexadecagon given Diagonal across Five Sides formula is defined as the amount or quantity of space occupied by a Hexadecagon in the plane, calculated using a diagonal across five sides is calculated using Area of Hexadecagon = 4*(Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16). To calculate Area of Hexadecagon given Diagonal across Five Sides, you need Diagonal across Five Sides of Hexadecagon (d₅). With our tool, you need to enter the respective value for Diagonal across Five Sides 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 Diagonal across Five Sides 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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