Circumradius of Heptagon given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(pi/7))
rc = (sqrt((4*A*tan(pi/7))/7))/(2*sin(pi/7))
This formula uses 1 Constants, 3 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
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
Circumradius of Heptagon - (Measured in Meter) - Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of 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
rc = (sqrt((4*A*tan(pi/7))/7))/(2*sin(pi/7)) --> (sqrt((4*365*tan(pi/7))/7))/(2*sin(pi/7))
Evaluating ... ...
rc = 11.549304528311
STEP 3: Convert Result to Output's Unit
11.549304528311 Meter --> No Conversion Required
FINAL ANSWER
11.549304528311 11.5493 Meter <-- Circumradius of Heptagon
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 2000+ more calculators!
Verifier Image
Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has verified this Calculator and 1100+ more calculators!

Circumradius of Heptagon Calculators

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

Radius of Heptagon Calculators

Circumradius of Heptagon given Area
​ LaTeX ​ Go Circumradius of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(pi/7))
Circumradius of Heptagon
​ LaTeX ​ Go Circumradius of Heptagon = Side of Heptagon/(2*sin(pi/7))
Inradius of Heptagon
​ LaTeX ​ Go Inradius of Heptagon = Side of Heptagon/(2*tan(pi/7))
Inradius of Heptagon given Area of Triangle
​ LaTeX ​ Go Inradius of Heptagon = (2*Area of Triangle of Heptagon)/Side of Heptagon

Circumradius of Heptagon given Area Formula

​LaTeX ​Go
Circumradius of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(pi/7))
rc = (sqrt((4*A*tan(pi/7))/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 Area?

Circumradius of Heptagon given Area calculator uses Circumradius of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(pi/7)) to calculate the Circumradius of Heptagon, The Circumradius of Heptagon given Area formula is defined as the length of the straight line from the center to any point on the circumcircle of the Heptagon, calculated using area. Circumradius of Heptagon is denoted by rc symbol.

How to calculate Circumradius of Heptagon given Area using this online calculator? To use this online calculator for Circumradius of Heptagon given Area, enter Area of Heptagon (A) and hit the calculate button. Here is how the Circumradius of Heptagon given Area calculation can be explained with given input values -> 11.5493 = (sqrt((4*365*tan(pi/7))/7))/(2*sin(pi/7)).

FAQ

What is Circumradius of Heptagon given Area?
The Circumradius of Heptagon given Area formula is defined as the length of the straight line from the center to any point on the circumcircle of the Heptagon, calculated using area and is represented as rc = (sqrt((4*A*tan(pi/7))/7))/(2*sin(pi/7)) or Circumradius of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(pi/7)). The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.
How to calculate Circumradius of Heptagon given Area?
The Circumradius of Heptagon given Area formula is defined as the length of the straight line from the center to any point on the circumcircle of the Heptagon, calculated using area is calculated using Circumradius of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(pi/7)). To calculate Circumradius 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 Circumradius of Heptagon?
In this formula, Circumradius of Heptagon uses Area of Heptagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Circumradius of Heptagon = Side of Heptagon/(2*sin(pi/7))
  • Circumradius of Heptagon = Long Diagonal of Heptagon*sin(((pi/2))/7)/sin(pi/7)
  • Circumradius of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(pi/7))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!