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Area of Hexadecagon given side Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = 4*(Side)^2*cot(pi/16)
A = 4*(S)^2*cot(pi/16)
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cot - Trigonometric cotangent function, cot(Angle)
Variables Used
Side - The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 4*(S)^2*cot(pi/16) --> 4*(9)^2*cot(pi/16)
Evaluating ... ...
A = 1628.85799544877
STEP 3: Convert Result to Output's Unit
1628.85799544877 Square Meter --> No Conversion Required
FINAL ANSWER
1628.85799544877 Square Meter <-- Area
(Calculation completed in 00.000 seconds)

7 Area of Hexadecagon Calculators

Area of Hexadecagon given diagonal across seven sides
area = 4*((Diagonal across seven sides)*(sin(pi/16)/sin(7*pi/16)))^2*cot(pi/16) Go
Area of Hexadecagon given diagonal across three sides
area = 4*((Diagonal across three sides)*(sin(pi/16)/sin(3*pi/16)))^2*cot(pi/16) Go
Area of Hexadecagon given diagonal across five sides
area = 4*((Diagonal across five sides)*(sin(pi/16)/sin(5*pi/16)))^2*cot(pi/16) Go
Area of Hexadecagon given diagonal across six sides
area = 4*((Diagonal across six sides)*(sin(pi/16)/sin(3*pi/8)))^2*cot(pi/16) Go
Area of Hexadecagon given diagonal across two sides
area = 4*((Diagonal across two sides)*(sin(pi/16)/sin(pi/8)))^2*cot(pi/16) Go
Area of Hexadecagon given diagonal across eight sides
area = 4*(Diagonal across eight sides*sin(pi/16))^2*cot(pi/16) Go
Area of Hexadecagon given side
area = 4*(Side)^2*cot(pi/16) Go

Area of Hexadecagon given side Formula

area = 4*(Side)^2*cot(pi/16)
A = 4*(S)^2*cot(pi/16)

What are properties of hexadecagon?

It has 104 diagonals. The sum of its interior angles is 2520°. If the hexadecagon is a regular hexadecagon, each of its interior angles measures 157.5 °.

How to Calculate Area of Hexadecagon given side?

Area of Hexadecagon given side calculator uses area = 4*(Side)^2*cot(pi/16) to calculate the Area, The Area of hexadecagon given side formula is defined as amount or quantity of space covered by hexadecagon in given plane. Area and is denoted by A symbol.

How to calculate Area of Hexadecagon given side using this online calculator? To use this online calculator for Area of Hexadecagon given side, enter Side (S) and hit the calculate button. Here is how the Area of Hexadecagon given side calculation can be explained with given input values -> 1628.858 = 4*(9)^2*cot(pi/16).

FAQ

What is Area of Hexadecagon given side?
The Area of hexadecagon given side formula is defined as amount or quantity of space covered by hexadecagon in given plane and is represented as A = 4*(S)^2*cot(pi/16) or area = 4*(Side)^2*cot(pi/16). The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Area of Hexadecagon given side?
The Area of hexadecagon given side formula is defined as amount or quantity of space covered by hexadecagon in given plane is calculated using area = 4*(Side)^2*cot(pi/16). To calculate Area of Hexadecagon given side, you need Side (S). With our tool, you need to enter the respective value for Side 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?
In this formula, Area uses Side. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • area = 4*(Side)^2*cot(pi/16)
  • area = 4*(Diagonal across eight sides*sin(pi/16))^2*cot(pi/16)
  • area = 4*((Diagonal across seven sides)*(sin(pi/16)/sin(7*pi/16)))^2*cot(pi/16)
  • area = 4*((Diagonal across six sides)*(sin(pi/16)/sin(3*pi/8)))^2*cot(pi/16)
  • area = 4*((Diagonal across five sides)*(sin(pi/16)/sin(5*pi/16)))^2*cot(pi/16)
  • area = 4*((Diagonal across three sides)*(sin(pi/16)/sin(3*pi/16)))^2*cot(pi/16)
  • area = 4*((Diagonal across two sides)*(sin(pi/16)/sin(pi/8)))^2*cot(pi/16)
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