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Circumradius of Heptagon given short diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = (Short diagonal/(2*cos(pi/7)))/(2*sin(pi/7))
rc = (r/(2*cos(pi/7)))/(2*sin(pi/7))
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)
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Short diagonal - Short diagonal is a straight line joining two opposite corners of a given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Short diagonal: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = (r/(2*cos(pi/7)))/(2*sin(pi/7)) --> (5/(2*cos(pi/7)))/(2*sin(pi/7))
Evaluating ... ...
rc = 3.19762001922483
STEP 3: Convert Result to Output's Unit
3.19762001922483 Meter --> No Conversion Required
FINAL ANSWER
3.19762001922483 Meter <-- Circumradius
(Calculation completed in 00.031 seconds)

8 Circumradius of Heptagon Calculators

Circumradius of Heptagon given area
circumradius = (sqrt((4*Area*tan(pi/7))/7))/(2*sin(pi/7)) Go
Circumradius of Heptagon given long diagonal
circumradius = (Long diagonal*((2*sin((pi/2/7)))))/(2*sin(pi/7)) Go
Circumradius of Heptagon given short diagonal
circumradius = (Short diagonal/(2*cos(pi/7)))/(2*sin(pi/7)) Go
Circumradius of Heptagon given inradius
circumradius = (Inradius*(2*(tan(pi/7))))/(2*sin(pi/7)) Go
Circumradius of Heptagon given height
circumradius = (Height*(2*tan(pi/2/7)))/(2*sin(pi/7)) Go
Circumradius of Heptagon given perimeter
circumradius = (Perimeter/7)/(2*sin(pi/7)) Go
Circumradius of Heptagon given side and central angle
circumradius = Side/(2*sin(Angle A/2)) Go
Circumradius of Heptagon given only side
circumradius = Side/(2*sin(pi/7)) Go

Circumradius of Heptagon given short diagonal Formula

circumradius = (Short diagonal/(2*cos(pi/7)))/(2*sin(pi/7))
rc = (r/(2*cos(pi/7)))/(2*sin(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 Circumradius of Heptagon given short diagonal?

Circumradius of Heptagon given short diagonal calculator uses circumradius = (Short diagonal/(2*cos(pi/7)))/(2*sin(pi/7)) to calculate the Circumradius, The Circumradius of heptagon given short diagonal formula is defined as straight line from the centre to the circumference of an heptagon, where radius= radius of heptagon , where a is side and Rc is circumradius of heptagon. Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Heptagon given short diagonal using this online calculator? To use this online calculator for Circumradius of Heptagon given short diagonal, enter Short diagonal (r) and hit the calculate button. Here is how the Circumradius of Heptagon given short diagonal calculation can be explained with given input values -> 3.19762 = (5/(2*cos(pi/7)))/(2*sin(pi/7)).

FAQ

What is Circumradius of Heptagon given short diagonal?
The Circumradius of heptagon given short diagonal formula is defined as straight line from the centre to the circumference of an heptagon, where radius= radius of heptagon , where a is side and Rc is circumradius of heptagon and is represented as rc = (r/(2*cos(pi/7)))/(2*sin(pi/7)) or circumradius = (Short diagonal/(2*cos(pi/7)))/(2*sin(pi/7)). Short diagonal is a straight line joining two opposite corners of a given polygon.
How to calculate Circumradius of Heptagon given short diagonal?
The Circumradius of heptagon given short diagonal formula is defined as straight line from the centre to the circumference of an heptagon, where radius= radius of heptagon , where a is side and Rc is circumradius of heptagon is calculated using circumradius = (Short diagonal/(2*cos(pi/7)))/(2*sin(pi/7)). To calculate Circumradius of Heptagon given short diagonal, you need Short diagonal (r). With our tool, you need to enter the respective value for Short diagonal 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 Circumradius?
In this formula, Circumradius uses Short diagonal. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • circumradius = Side/(2*sin(Angle A/2))
  • circumradius = Side/(2*sin(pi/7))
  • circumradius = (Long diagonal*((2*sin((pi/2/7)))))/(2*sin(pi/7))
  • circumradius = (Short diagonal/(2*cos(pi/7)))/(2*sin(pi/7))
  • circumradius = (Height*(2*tan(pi/2/7)))/(2*sin(pi/7))
  • circumradius = (Inradius*(2*(tan(pi/7))))/(2*sin(pi/7))
  • circumradius = (sqrt((4*Area*tan(pi/7))/7))/(2*sin(pi/7))
  • circumradius = (Perimeter/7)/(2*sin(pi/7))
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