STEP 0: Pre-Calculation Summary
Formula Used
A = 4*(rc/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)))^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
cot - Trigonometric cotangent function, cot(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Area of Hexadecagon - (Measured in Square Meter) - Area of Hexadecagon is the amount of 2-dimensional space occupied by the figure.
STEP 1: Convert Input(s) to Base Unit
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 4*(rc/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)))^2*cot(pi/16) --> 4*(13/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)))^2*cot(pi/16)
Evaluating ... ...
A = 517.388000557601
STEP 3: Convert Result to Output's Unit
517.388000557601 Square Meter --> No Conversion Required
517.388000557601 Square Meter <-- Area of Hexadecagon
(Calculation completed in 00.012 seconds)
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A = 4*(rc/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)))^2*cot(pi/16)

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 Circumradius using this online calculator? To use this online calculator for Area of Hexadecagon given Circumradius, enter Circumradius of Hexadecagon (rc) and hit the calculate button. Here is how the Area of Hexadecagon given Circumradius calculation can be explained with given input values -> 517.388 = 4*(13/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)))^2*cot(pi/16).

### FAQ

How many ways are there to calculate Area of Hexadecagon?
In this formula, Area of Hexadecagon uses Circumradius of Hexadecagon. We can use 11 other way(s) to calculate the same, which is/are as follows -