Perimeter of Heptagon given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Heptagon = 7*sqrt((4*Area of Heptagon*tan(pi/7))/7)
P = 7*sqrt((4*A*tan(pi/7))/7)
This formula uses 1 Constants, 2 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Perimeter of Heptagon - (Measured in Meter) - Perimeter of Heptagon is the total length around the edge of the Heptagon.
Area of Heptagon - (Measured in Square Meter) - The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.
STEP 1: Convert Input(s) to Base Unit
Area of Heptagon: 365 Square Meter --> 365 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 7*sqrt((4*A*tan(pi/7))/7) --> 7*sqrt((4*365*tan(pi/7))/7)
Evaluating ... ...
P = 70.1547760613128
STEP 3: Convert Result to Output's Unit
70.1547760613128 Meter --> No Conversion Required
FINAL ANSWER
70.1547760613128 70.15478 Meter <-- Perimeter of Heptagon
(Calculation completed in 00.008 seconds)

Credits

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Perimeter of Heptagon Calculators

Perimeter of Heptagon given Long Diagonal
​ LaTeX ​ Go Perimeter of Heptagon = 7*(Long Diagonal of Heptagon*2*sin(((pi/2))/7))
Perimeter of Heptagon given Short Diagonal
​ LaTeX ​ Go Perimeter of Heptagon = 7*(Short Diagonal of Heptagon/(2*cos(pi/7)))
Perimeter of Heptagon given Circumradius
​ LaTeX ​ Go Perimeter of Heptagon = 14*Circumradius of Heptagon*sin(pi/7)
Perimeter of Heptagon given Height
​ LaTeX ​ Go Perimeter of Heptagon = 14*Height of Heptagon*tan(((pi/2))/7)

Perimeter of Heptagon given Area Formula

​LaTeX ​Go
Perimeter of Heptagon = 7*sqrt((4*Area of Heptagon*tan(pi/7))/7)
P = 7*sqrt((4*A*tan(pi/7))/7)

What is a Heptagon?

Heptagon is a polygon with seven sides and seven vertices. Like any polygon, a heptagon may be either convex or concave, as illustrated in the next figure. When it is convex, all its interior angles are lower than 180°. On the other hand, when its is concave, one or more of its interior angles is larger than 180°. When all the edges of the heptagon are equal then it is called equilateral

How to Calculate Perimeter of Heptagon given Area?

Perimeter of Heptagon given Area calculator uses Perimeter of Heptagon = 7*sqrt((4*Area of Heptagon*tan(pi/7))/7) to calculate the Perimeter of Heptagon, The Perimeter of Heptagon given Area formula is defined as the sum of all the sides of Heptagon, calculated using area. Perimeter of Heptagon is denoted by P symbol.

How to calculate Perimeter of Heptagon given Area using this online calculator? To use this online calculator for Perimeter of Heptagon given Area, enter Area of Heptagon (A) and hit the calculate button. Here is how the Perimeter of Heptagon given Area calculation can be explained with given input values -> 70.15478 = 7*sqrt((4*365*tan(pi/7))/7).

FAQ

What is Perimeter of Heptagon given Area?
The Perimeter of Heptagon given Area formula is defined as the sum of all the sides of Heptagon, calculated using area and is represented as P = 7*sqrt((4*A*tan(pi/7))/7) or Perimeter of Heptagon = 7*sqrt((4*Area of Heptagon*tan(pi/7))/7). The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.
How to calculate Perimeter of Heptagon given Area?
The Perimeter of Heptagon given Area formula is defined as the sum of all the sides of Heptagon, calculated using area is calculated using Perimeter of Heptagon = 7*sqrt((4*Area of Heptagon*tan(pi/7))/7). To calculate Perimeter of Heptagon given Area, you need Area of Heptagon (A). With our tool, you need to enter the respective value for Area of Heptagon 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 Perimeter of Heptagon?
In this formula, Perimeter of Heptagon uses Area of Heptagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Heptagon = 7*(Long Diagonal of Heptagon*2*sin(((pi/2))/7))
  • Perimeter of Heptagon = 7*(Short Diagonal of Heptagon/(2*cos(pi/7)))
  • Perimeter of Heptagon = 14*Height of Heptagon*tan(((pi/2))/7)
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