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 = le/(2*tan(pi/2/NSides))
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 = le/(2*tan(pi/2/NSides)) --> 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 00.004 seconds)

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2 Height of N-gon Calculators

Height of N-gon when N is Odd
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
Go Height of N-gon = 2*Inradius of N-gon

Height of N-gon when N is Odd Formula

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

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 (le) & Number of Sides of N-gon (NSides) 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 = le/(2*tan(pi/2/NSides)) 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 (le) & Number of Sides of N-gon (NSides). 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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