Height of N-gon when N is Odd Calculator

✖Edge Length of N-gon is the length of the line segment joining two adjacent vertices of N-gon.ⓘ Edge Length of N-gon [l_e]			+10% -10%
✖Number of Sides of N-gon is the number of line segments required to make a N-gon.ⓘ Number of Sides of N-gon [N_Sides]			+10% -10%

✖The Height of N-gon is the length of a perpendicular line drawn from one vertex to the opposite side (or its extension).ⓘ Height of N-gon when N is Odd [h]

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Height of N-gon when N is Odd Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of N-gon = Edge Length of N-gon/(2*tan(pi/2/Number of Sides of N-gon))
h = l_e/(2*tan(pi/2/N_Sides))
This formula uses 1 Constants, 1 Functions, 3 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

Height of N-gon - (Measured in Meter) - The Height of N-gon is the length of a perpendicular line drawn from one vertex to the opposite side (or its extension).
Edge Length of N-gon - (Measured in Meter) - Edge Length of N-gon is the length of the line segment joining two adjacent vertices of N-gon.
Number of Sides of N-gon - Number of Sides of N-gon is the number of line segments required to make a N-gon.

STEP 1: Convert Input(s) to Base Unit

Edge Length of N-gon: 10 Meter --> 10 Meter No Conversion Required
Number of Sides of N-gon: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = l_e/(2*tan(pi/2/N_Sides)) --> 10/(2*tan(pi/2/8))

Evaluating ... ...

h = 25.1366974606292

STEP 3: Convert Result to Output's Unit

25.1366974606292 Meter --> No Conversion Required

FINAL ANSWER

25.1366974606292 ≈ 25.1367 Meter <-- Height of N-gon

(Calculation completed in 00.011 seconds)

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< Height of N gon Calculators

Height of N-gon when N is Odd

LaTeX Go Height of N-gon = Edge Length of N-gon/(2*tan(pi/2/Number of Sides of N-gon))

Height of N-gon when N is Even

LaTeX Go Height of N-gon = 2*Inradius of N-gon

Height of N-gon when N is Odd Formula

LaTeX Go

Height of N-gon = Edge Length of N-gon/(2*tan(pi/2/Number of Sides of N-gon))
h = l_e/(2*tan(pi/2/N_Sides))

What is N-gon?

N-gon is a polygon with N sides and N vertices. An n-gon, can be either convex or concave. A convex polygon has none of its interior angles greater than 180°. On the contrary, a concave polygon has one or more of its interior angles greater than 180°. A polygon is called regular when its sides are equal and also its interior angles are equal.

How to Calculate Height of N-gon when N is Odd?

Height of N-gon when N is Odd calculator uses Height of N-gon = Edge Length of N-gon/(2*tan(pi/2/Number of Sides of N-gon)) to calculate the Height of N-gon, The Height of N-gon when N is odd formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of N-gon, when N is odd. Height of N-gon is denoted by h symbol.

How to calculate Height of N-gon when N is Odd using this online calculator? To use this online calculator for Height of N-gon when N is Odd, enter Edge Length of N-gon (l_e) & Number of Sides of N-gon (N_Sides) and hit the calculate button. Here is how the Height of N-gon when N is Odd calculation can be explained with given input values -> 25.1367 = 10/(2*tan(pi/2/8)).

FAQ

What is Height of N-gon when N is Odd?

The Height of N-gon when N is odd formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of N-gon, when N is odd and is represented as h = l_e/(2*tan(pi/2/N_Sides)) or Height of N-gon = Edge Length of N-gon/(2*tan(pi/2/Number of Sides of N-gon)). Edge Length of N-gon is the length of the line segment joining two adjacent vertices of N-gon & Number of Sides of N-gon is the number of line segments required to make a N-gon.

How to calculate Height of N-gon when N is Odd?

The Height of N-gon when N is odd formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of N-gon, when N is odd is calculated using Height of N-gon = Edge Length of N-gon/(2*tan(pi/2/Number of Sides of N-gon)). To calculate Height of N-gon when N is Odd, you need Edge Length of N-gon (l_e) & Number of Sides of N-gon (N_Sides). With our tool, you need to enter the respective value for Edge Length of N-gon & Number of Sides of N-gon 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 Height of N-gon?

In this formula, Height of N-gon uses Edge Length of N-gon & Number of Sides of N-gon. We can use 1 other way(s) to calculate the same, which is/are as follows -

Height of N-gon = 2*Inradius of N-gon

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