Circumradius of Heptagon given Inradius Calculator

✖Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.ⓘ Inradius of Heptagon [r_i]

+10%

-10%

✖Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.ⓘ Circumradius of Heptagon given Inradius [r_c]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Heptagon Formula PDF PDF Image

Circumradius of Heptagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(pi/7)
r_c = r_i*tan(pi/7)/sin(pi/7)
This formula uses 1 Constants, 2 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)

Variables Used

Circumradius of Heptagon - (Measured in Meter) - Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.
Inradius of Heptagon - (Measured in Meter) - Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

STEP 1: Convert Input(s) to Base Unit

Inradius of Heptagon: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = r_i*tan(pi/7)/sin(pi/7) --> 11*tan(pi/7)/sin(pi/7)

Evaluating ... ...

r_c = 12.2090789059222

STEP 3: Convert Result to Output's Unit

12.2090789059222 Meter --> No Conversion Required

FINAL ANSWER

12.2090789059222 ≈ 12.20908 Meter <-- Circumradius of Heptagon

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Heptagon » Radius of Heptagon » Circumradius of Heptagon » Circumradius of Heptagon given Inradius

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

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))

Circumradius of Heptagon given Inradius Formula

LaTeX Go

Circumradius of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(pi/7)
r_c = r_i*tan(pi/7)/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 of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(pi/7) to calculate the Circumradius of Heptagon, The Circumradius of Heptagon given Inradius formula is defined as the length of the straight line from the centre to any point on the circumcircle of the Heptagon, calculated using inradius. Circumradius of Heptagon is denoted by r_c 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 of Heptagon (r_i) and hit the calculate button. Here is how the Circumradius of Heptagon given Inradius calculation can be explained with given input values -> 12.20908 = 11*tan(pi/7)/sin(pi/7).

FAQ

What is Circumradius of Heptagon given Inradius?

The Circumradius of Heptagon given Inradius formula is defined as the length of the straight line from the centre to any point on the circumcircle of the Heptagon, calculated using inradius and is represented as r_c = r_i*tan(pi/7)/sin(pi/7) or Circumradius of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(pi/7). Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

How to calculate Circumradius of Heptagon given Inradius?

The Circumradius of Heptagon given Inradius formula is defined as the length of the straight line from the centre to any point on the circumcircle of the Heptagon, calculated using inradius is calculated using Circumradius of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(pi/7). To calculate Circumradius of Heptagon given Inradius, you need Inradius of Heptagon (r_i). With our tool, you need to enter the respective value for Inradius 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 Inradius 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))

Home

FREE PDFs

🔍 Search