Side 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]

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✖Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.ⓘ Side of Heptagon given Inradius [S]

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Side of Heptagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Heptagon = 2*Inradius of Heptagon*tan(pi/7)
S = 2*r_i*tan(pi/7)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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

Side of Heptagon - (Measured in Meter) - Side of Heptagon is the length of the line segment joining two adjacent 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

S = 2*r_i*tan(pi/7) --> 2*11*tan(pi/7)

Evaluating ... ...

S = 10.5946416137656

STEP 3: Convert Result to Output's Unit

10.5946416137656 Meter --> No Conversion Required

FINAL ANSWER

10.5946416137656 ≈ 10.59464 Meter <-- Side of Heptagon

(Calculation completed in 00.006 seconds)

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< Side of Heptagon Calculators

Side of Heptagon given Long Diagonal

LaTeX Go Side of Heptagon = 2*Long Diagonal of Heptagon*sin(((pi/2))/7)

Side of Heptagon given Short Diagonal

LaTeX Go Side of Heptagon = Short Diagonal of Heptagon/(2*cos(pi/7))

Side of Heptagon given Circumradius

LaTeX Go Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7)

Side of Heptagon given Perimeter

LaTeX Go Side of Heptagon = Perimeter of Heptagon/7

Side of Heptagon given Inradius Formula

LaTeX Go

Side of Heptagon = 2*Inradius of Heptagon*tan(pi/7)
S = 2*r_i*tan(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 Side of Heptagon given Inradius?

Side of Heptagon given Inradius calculator uses Side of Heptagon = 2*Inradius of Heptagon*tan(pi/7) to calculate the Side of Heptagon, The Side of heptagon given Inradius formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using inradius. Side of Heptagon is denoted by S symbol.

How to calculate Side of Heptagon given Inradius using this online calculator? To use this online calculator for Side of Heptagon given Inradius, enter Inradius of Heptagon (r_i) and hit the calculate button. Here is how the Side of Heptagon given Inradius calculation can be explained with given input values -> 10.59464 = 2*11*tan(pi/7).

FAQ

What is Side of Heptagon given Inradius?

The Side of heptagon given Inradius formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using inradius and is represented as S = 2*r_i*tan(pi/7) or Side of Heptagon = 2*Inradius of Heptagon*tan(pi/7). Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

How to calculate Side of Heptagon given Inradius?

The Side of heptagon given Inradius formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using inradius is calculated using Side of Heptagon = 2*Inradius of Heptagon*tan(pi/7). To calculate Side 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 Side of Heptagon?

In this formula, Side of Heptagon uses Inradius of Heptagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Side of Heptagon = 2*Long Diagonal of Heptagon*sin(((pi/2))/7)
Side of Heptagon = Short Diagonal of Heptagon/(2*cos(pi/7))
Side of Heptagon = Perimeter of Heptagon/7

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