Area of Hexadecagon given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Hexadecagon = 4*(Perimeter of Hexadecagon/16)^2*cot(pi/16)
A = 4*(P/16)^2*cot(pi/16)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cot - Trigonometric cotangent function, cot(Angle)
Variables Used
Area of Hexadecagon - (Measured in Square Meter) - Area of Hexadecagon is the amount of 2-dimensional space occupied by the figure.
Perimeter of Hexadecagon - (Measured in Meter) - Perimeter of Hexadecagon is the total distance around the edge of the figure.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Hexadecagon: 80 Meter --> 80 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 4*(P/16)^2*cot(pi/16) --> 4*(80/16)^2*cot(pi/16)
Evaluating ... ...
A = 502.733949212585
STEP 3: Convert Result to Output's Unit
502.733949212585 Square Meter --> No Conversion Required
FINAL ANSWER
502.733949212585 Square Meter <-- Area of Hexadecagon
(Calculation completed in 00.011 seconds)

Credits

Created by Himanshu Srivastava
Lloyd Business School (LBS), Greater Noida
Himanshu Srivastava has created this Calculator and 10 more calculators!
Verified by Nayana Phulphagar
Institute of chartered and financial Analysts of India National college (ICFAI National college), HUBLI
Nayana Phulphagar has verified this Calculator and 500+ more calculators!

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 Perimeter Formula

Area of Hexadecagon = 4*(Perimeter of Hexadecagon/16)^2*cot(pi/16)
A = 4*(P/16)^2*cot(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 Perimeter?

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

How to calculate Area of Hexadecagon given Perimeter using this online calculator? To use this online calculator for Area of Hexadecagon given Perimeter, enter Perimeter of Hexadecagon (P) and hit the calculate button. Here is how the Area of Hexadecagon given Perimeter calculation can be explained with given input values -> 502.7339 = 4*(80/16)^2*cot(pi/16).

FAQ

What is Area of Hexadecagon given Perimeter?
The Area of Hexadecagon given Perimeter formula is defined the amount or quantity of space occupied by Hexadecagon in the plane, calculated using perimeter and is represented as A = 4*(P/16)^2*cot(pi/16) or Area of Hexadecagon = 4*(Perimeter of Hexadecagon/16)^2*cot(pi/16). Perimeter of Hexadecagon is the total distance around the edge of the figure.
How to calculate Area of Hexadecagon given Perimeter?
The Area of Hexadecagon given Perimeter formula is defined the amount or quantity of space occupied by Hexadecagon in the plane, calculated using perimeter is calculated using Area of Hexadecagon = 4*(Perimeter of Hexadecagon/16)^2*cot(pi/16). To calculate Area of Hexadecagon given Perimeter, you need Perimeter of Hexadecagon (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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*(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)
  • Area of Hexadecagon = 4*(Height of Hexadecagon)^2*tan(pi/16)
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!