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Circumradius of Heptagon given long diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = (Long diagonal*((2*sin((pi/2/7)))))/(2*sin(pi/7))
rc = (p*((2*sin((pi/2/7)))))/(2*sin(pi/7))
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Long diagonal - Long diagonal is a straight line joining two opposite corners of a given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Long diagonal: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = (p*((2*sin((pi/2/7)))))/(2*sin(pi/7)) --> (10*((2*sin((pi/2/7)))))/(2*sin(pi/7))
Evaluating ... ...
rc = 5.12858431636277
STEP 3: Convert Result to Output's Unit
5.12858431636277 Meter --> No Conversion Required
FINAL ANSWER
5.12858431636277 Meter <-- Circumradius
(Calculation completed in 00.000 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 long diagonal Formula

circumradius = (Long diagonal*((2*sin((pi/2/7)))))/(2*sin(pi/7))
rc = (p*((2*sin((pi/2/7)))))/(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 long diagonal?

Circumradius of Heptagon given long diagonal calculator uses circumradius = (Long diagonal*((2*sin((pi/2/7)))))/(2*sin(pi/7)) to calculate the Circumradius, The Circumradius of heptagon given long 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 long diagonal using this online calculator? To use this online calculator for Circumradius of Heptagon given long diagonal, enter Long diagonal (p) and hit the calculate button. Here is how the Circumradius of Heptagon given long diagonal calculation can be explained with given input values -> 5.128584 = (10*((2*sin((pi/2/7)))))/(2*sin(pi/7)).

FAQ

What is Circumradius of Heptagon given long diagonal?
The Circumradius of heptagon given long 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 = (p*((2*sin((pi/2/7)))))/(2*sin(pi/7)) or circumradius = (Long diagonal*((2*sin((pi/2/7)))))/(2*sin(pi/7)). Long diagonal is a straight line joining two opposite corners of a given polygon.
How to calculate Circumradius of Heptagon given long diagonal?
The Circumradius of heptagon given long 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 = (Long diagonal*((2*sin((pi/2/7)))))/(2*sin(pi/7)). To calculate Circumradius of Heptagon given long diagonal, you need Long diagonal (p). With our tool, you need to enter the respective value for Long 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 Long 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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