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 - Trigonometric tangent function, tan(Angle)
Variables Used
Area of Hexadecagon - (Measured in Square Meter) - Area of Hexadecagon is the amount of 2-dimensional space occupied by the figure.
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 Square Meter <-- Area of Hexadecagon
(Calculation completed in 00.009 seconds)

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10+ Area of Hexadecagon Calculators

Area of Hexadecagon given Circumradius
Area of Hexadecagon = 4*(Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)))^2*cot(pi/16) Go
Area of Hexadecagon given Diagonal across Seven Sides
Area of Hexadecagon = 4*((Diagonal across Seven Sides of Hexadecagon)*(sin(pi/16)/sin(7*pi/16)))^2*cot(pi/16) Go
Area of Hexadecagon given Diagonal across Three Sides
Area of Hexadecagon = 4*((Diagonal across Three Sides of Hexadecagon)*(sin(pi/16)/sin(3*pi/16)))^2*cot(pi/16) Go
Area of Hexadecagon given Diagonal across Five Sides
Area of Hexadecagon = 4*((Diagonal across Five Sides of Hexadecagon)*(sin(pi/16)/sin(5*pi/16)))^2*cot(pi/16) Go
Area of Hexadecagon given Diagonal across Six Sides
Area of Hexadecagon = 4*((Diagonal across Six Sides of Hexadecagon)*(sin(pi/16)/sin(3*pi/8)))^2*cot(pi/16) Go
Area of Hexadecagon given Diagonal across Two Sides
Area of Hexadecagon = 4*((Diagonal across Two Sides of Hexadecagon)*(sin(pi/16)/sin(pi/8)))^2*cot(pi/16) Go
Area of Hexadecagon given Inradius
Area of Hexadecagon = 4*(Inradius of Hexadecagon/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2))^2*cot(pi/16) Go
Area of Hexadecagon given Diagonal across Eight Sides
Area of Hexadecagon = 4*(Diagonal across Eight Sides of Hexadecagon*sin(pi/16))^2*cot(pi/16) Go
Area of Hexadecagon given Perimeter
Area of Hexadecagon = 4*(Perimeter of Hexadecagon/16)^2*cot(pi/16) Go
Area of Hexadecagon
Area of Hexadecagon = 4*(Side of Hexadecagon)^2*cot(pi/16) Go

Area of Hexadecagon given Height Formula

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 11 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)
  • Area of Hexadecagon = 4*((Diagonal across Six Sides of Hexadecagon)*(sin(pi/16)/sin(3*pi/8)))^2*cot(pi/16)
  • Area of Hexadecagon = 4*((Diagonal across Five Sides of Hexadecagon)*(sin(pi/16)/sin(5*pi/16)))^2*cot(pi/16)
  • Area of Hexadecagon = 4*((Diagonal across Three Sides of Hexadecagon)*(sin(pi/16)/sin(3*pi/16)))^2*cot(pi/16)
  • Area of Hexadecagon = 4*((Diagonal across Two Sides of Hexadecagon)*(sin(pi/16)/sin(pi/8)))^2*cot(pi/16)
  • Area of Hexadecagon = 4*(Perimeter of Hexadecagon/16)^2*cot(pi/16)
  • Area of Hexadecagon = 4*(Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)))^2*cot(pi/16)
  • Area of Hexadecagon = 4*(Inradius of Hexadecagon/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2))^2*cot(pi/16)
  • Area of Hexadecagon = 4*((Diagonal across Four Sides of Hexadecagon)*(sin(pi/16)/sin(4*pi/16)))^2*cot(pi/16)
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