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Area of Hexadecagon given diagonal across seven sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = 4*((Diagonal across seven sides)*(sin(pi/16)/sin(7*pi/16)))^2*cot(pi/16)
A = 4*((d7)*(sin(pi/16)/sin(7*pi/16)))^2*cot(pi/16)
This formula uses 1 Constants, 2 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
cot - Trigonometric cotangent function, cot(Angle)
Variables Used
Diagonal across seven sides - Diagonal across seven sides is a straight line joining two opposite sides which is across seven sides of the given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Diagonal across seven sides: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 4*((d7)*(sin(pi/16)/sin(7*pi/16)))^2*cot(pi/16) --> 4*((15)*(sin(pi/16)/sin(7*pi/16)))^2*cot(pi/16)
Evaluating ... ...
A = 179.021130641692
STEP 3: Convert Result to Output's Unit
179.021130641692 Square Meter --> No Conversion Required
FINAL ANSWER
179.021130641692 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 diagonal across seven sides Formula

area = 4*((Diagonal across seven sides)*(sin(pi/16)/sin(7*pi/16)))^2*cot(pi/16)
A = 4*((d7)*(sin(pi/16)/sin(7*pi/16)))^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 diagonal across seven sides?

Area of Hexadecagon given diagonal across seven sides calculator uses area = 4*((Diagonal across seven sides)*(sin(pi/16)/sin(7*pi/16)))^2*cot(pi/16) to calculate the Area, The Area of hexadecagon given diagonal across seven sides formula is defined as amount or quantity of space occupied by hexadecagon in plane. Area and is denoted by A symbol.

How to calculate Area of Hexadecagon given diagonal across seven sides using this online calculator? To use this online calculator for Area of Hexadecagon given diagonal across seven sides, enter Diagonal across seven sides (d7) and hit the calculate button. Here is how the Area of Hexadecagon given diagonal across seven sides calculation can be explained with given input values -> 179.0211 = 4*((15)*(sin(pi/16)/sin(7*pi/16)))^2*cot(pi/16).

FAQ

What is Area of Hexadecagon given diagonal across seven sides?
The Area of hexadecagon given diagonal across seven sides formula is defined as amount or quantity of space occupied by hexadecagon in plane and is represented as A = 4*((d7)*(sin(pi/16)/sin(7*pi/16)))^2*cot(pi/16) or area = 4*((Diagonal across seven sides)*(sin(pi/16)/sin(7*pi/16)))^2*cot(pi/16). Diagonal across seven sides is a straight line joining two opposite sides which is across seven sides of the given polygon.
How to calculate Area of Hexadecagon given diagonal across seven sides?
The Area of hexadecagon given diagonal across seven sides formula is defined as amount or quantity of space occupied by hexadecagon in plane is calculated using area = 4*((Diagonal across seven sides)*(sin(pi/16)/sin(7*pi/16)))^2*cot(pi/16). To calculate Area of Hexadecagon given diagonal across seven sides, you need Diagonal across seven sides (d7). With our tool, you need to enter the respective value for Diagonal across seven sides 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 Diagonal across seven sides. 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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