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Circumradius of Heptagon given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = (Inradius*(2*(tan(pi/7))))/(2*sin(pi/7))
rc = (ri*(2*(tan(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)
tan - Trigonometric tangent function, tan(Angle)
Variables Used
Inradius - Inradius is defined as the radius of the circle which is inscribed inside the polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Inradius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = (ri*(2*(tan(pi/7))))/(2*sin(pi/7)) --> (10*(2*(tan(pi/7))))/(2*sin(pi/7))
Evaluating ... ...
rc = 11.0991626417474
STEP 3: Convert Result to Output's Unit
11.0991626417474 Meter --> No Conversion Required
FINAL ANSWER
11.0991626417474 Meter <-- Circumradius
(Calculation completed in 00.016 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 inradius Formula

circumradius = (Inradius*(2*(tan(pi/7))))/(2*sin(pi/7))
rc = (ri*(2*(tan(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 inradius?

Circumradius of Heptagon given inradius calculator uses circumradius = (Inradius*(2*(tan(pi/7))))/(2*sin(pi/7)) to calculate the Circumradius, The Circumradius of heptagon given inradius 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 inradius using this online calculator? To use this online calculator for Circumradius of Heptagon given inradius, enter Inradius (ri) and hit the calculate button. Here is how the Circumradius of Heptagon given inradius calculation can be explained with given input values -> 11.09916 = (10*(2*(tan(pi/7))))/(2*sin(pi/7)).

FAQ

What is Circumradius of Heptagon given inradius?
The Circumradius of heptagon given inradius 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 = (ri*(2*(tan(pi/7))))/(2*sin(pi/7)) or circumradius = (Inradius*(2*(tan(pi/7))))/(2*sin(pi/7)). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Circumradius of Heptagon given inradius?
The Circumradius of heptagon given inradius 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 = (Inradius*(2*(tan(pi/7))))/(2*sin(pi/7)). To calculate Circumradius of Heptagon given inradius, you need Inradius (ri). With our tool, you need to enter the respective value for Inradius 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 Inradius. 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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