Short Diagonal of Heptagon given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Short Diagonal of Heptagon = 2*(Perimeter of Heptagon/7)*cos(pi/7)
dShort = 2*(P/7)*cos(pi/7)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Short Diagonal of Heptagon - (Measured in Meter) - Short Diagonal of Heptagon is the length of the straight line joining two non-adjacent vertices across the two sides of the Heptagon.
Perimeter of Heptagon - (Measured in Meter) - Perimeter of Heptagon is the total length around the edge of the Heptagon.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Heptagon: 70 Meter --> 70 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dShort = 2*(P/7)*cos(pi/7) --> 2*(70/7)*cos(pi/7)
Evaluating ... ...
dShort = 18.0193773580484
STEP 3: Convert Result to Output's Unit
18.0193773580484 Meter --> No Conversion Required
FINAL ANSWER
18.0193773580484 18.01938 Meter <-- Short Diagonal of Heptagon
(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru
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8 Short Diagonal of Heptagon Calculators

Short Diagonal of Heptagon given Area
Go Short Diagonal of Heptagon = 2*sqrt((4*Area of Heptagon*tan(pi/7))/7)*cos(pi/7)
Short Diagonal of Heptagon given Long Diagonal
Go Short Diagonal of Heptagon = 4*Long Diagonal of Heptagon*sin(((pi/2))/7)*cos(pi/7)
Short Diagonal of Heptagon given Circumradius
Go Short Diagonal of Heptagon = 4*Circumradius of Heptagon*sin(pi/7)*cos(pi/7)
Short Diagonal of Heptagon given Height
Go Short Diagonal of Heptagon = 4*Height of Heptagon*tan(((pi/2))/7)*cos(pi/7)
Short Diagonal of Heptagon given Width
Go Short Diagonal of Heptagon = 4*Width of Heptagon*sin(((pi/2))/7)*cos(pi/7)
Short Diagonal of Heptagon given Inradius
Go Short Diagonal of Heptagon = 4*Inradius of Heptagon*tan(pi/7)*cos(pi/7)
Short Diagonal of Heptagon given Perimeter
Go Short Diagonal of Heptagon = 2*(Perimeter of Heptagon/7)*cos(pi/7)
Short Diagonal of Heptagon
Go Short Diagonal of Heptagon = 2*Side of Heptagon*cos(pi/7)

4 Diagonal of Heptagon Calculators

Short Diagonal of Heptagon given Perimeter
Go Short Diagonal of Heptagon = 2*(Perimeter of Heptagon/7)*cos(pi/7)
Long Diagonal of Heptagon
Go Long Diagonal of Heptagon = Side of Heptagon/(2*sin(((pi/2))/7))
Short Diagonal of Heptagon
Go Short Diagonal of Heptagon = 2*Side of Heptagon*cos(pi/7)
Long Diagonal of Heptagon given Width
Go Long Diagonal of Heptagon = Width of Heptagon/1

Short Diagonal of Heptagon given Perimeter Formula

Short Diagonal of Heptagon = 2*(Perimeter of Heptagon/7)*cos(pi/7)
dShort = 2*(P/7)*cos(pi/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 Short Diagonal of Heptagon given Perimeter?

Short Diagonal of Heptagon given Perimeter calculator uses Short Diagonal of Heptagon = 2*(Perimeter of Heptagon/7)*cos(pi/7) to calculate the Short Diagonal of Heptagon, The Short Diagonal of Heptagon given Perimeter formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides, calculated using perimeter. Short Diagonal of Heptagon is denoted by dShort symbol.

How to calculate Short Diagonal of Heptagon given Perimeter using this online calculator? To use this online calculator for Short Diagonal of Heptagon given Perimeter, enter Perimeter of Heptagon (P) and hit the calculate button. Here is how the Short Diagonal of Heptagon given Perimeter calculation can be explained with given input values -> 18.01938 = 2*(70/7)*cos(pi/7).

FAQ

What is Short Diagonal of Heptagon given Perimeter?
The Short Diagonal of Heptagon given Perimeter formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides, calculated using perimeter and is represented as dShort = 2*(P/7)*cos(pi/7) or Short Diagonal of Heptagon = 2*(Perimeter of Heptagon/7)*cos(pi/7). Perimeter of Heptagon is the total length around the edge of the Heptagon.
How to calculate Short Diagonal of Heptagon given Perimeter?
The Short Diagonal of Heptagon given Perimeter formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides, calculated using perimeter is calculated using Short Diagonal of Heptagon = 2*(Perimeter of Heptagon/7)*cos(pi/7). To calculate Short Diagonal of Heptagon given Perimeter, you need Perimeter of Heptagon (P). With our tool, you need to enter the respective value for Perimeter 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 Short Diagonal of Heptagon?
In this formula, Short Diagonal of Heptagon uses Perimeter of Heptagon. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Short Diagonal of Heptagon = 2*Side of Heptagon*cos(pi/7)
  • Short Diagonal of Heptagon = 4*Long Diagonal of Heptagon*sin(((pi/2))/7)*cos(pi/7)
  • Short Diagonal of Heptagon = 4*Height of Heptagon*tan(((pi/2))/7)*cos(pi/7)
  • Short Diagonal of Heptagon = 4*Circumradius of Heptagon*sin(pi/7)*cos(pi/7)
  • Short Diagonal of Heptagon = 4*Inradius of Heptagon*tan(pi/7)*cos(pi/7)
  • Short Diagonal of Heptagon = 2*sqrt((4*Area of Heptagon*tan(pi/7))/7)*cos(pi/7)
  • Short Diagonal of Heptagon = 4*Width of Heptagon*sin(((pi/2))/7)*cos(pi/7)
  • Short Diagonal of Heptagon = 2*Side of Heptagon*cos(pi/7)
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