Diagonal across M sides of N-gon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal across M Sides of N-gon = (Edge Length of N-gon*sin(pi*M Number of Sides of N-gon/Number of Sides of N-gon))/(sin(pi/Number of Sides of N-gon))
dm = (le*sin(pi*MSides/NSides))/(sin(pi/NSides))
This formula uses 1 Constants, 1 Functions, 4 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)
Variables Used
Diagonal across M Sides of N-gon - (Measured in Meter) - Diagonal across M Sides of N-gon is defined as the length of the diagonal across N sides of N sided polygon.
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.
M Number of Sides of N-gon - M Number of Sides of N-gon is the measure of number of sides which is equal to M.
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
M Number of Sides of N-gon: 6 --> No Conversion Required
Number of Sides of N-gon: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dm = (le*sin(pi*MSides/NSides))/(sin(pi/NSides)) --> (10*sin(pi*6/8))/(sin(pi/8))
Evaluating ... ...
dm = 18.4775906502257
STEP 3: Convert Result to Output's Unit
18.4775906502257 Meter --> No Conversion Required
FINAL ANSWER
18.4775906502257 18.47759 Meter <-- Diagonal across M Sides of N-gon
(Calculation completed in 00.004 seconds)

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Diagonals of N gon Calculators

Diagonal across M sides of N-gon
​ Go Diagonal across M Sides of N-gon = (Edge Length of N-gon*sin(pi*M Number of Sides of N-gon/Number of Sides of N-gon))/(sin(pi/Number of Sides of N-gon))
Number of Diagonals of N-gon
​ Go Number of Diagonals of N-gon = (Number of Sides of N-gon*(Number of Sides of N-gon-3))/2

Diagonal across M sides of N-gon Formula

Diagonal across M Sides of N-gon = (Edge Length of N-gon*sin(pi*M Number of Sides of N-gon/Number of Sides of N-gon))/(sin(pi/Number of Sides of N-gon))
dm = (le*sin(pi*MSides/NSides))/(sin(pi/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.

What is Diagonal of a polygon?

A Diagonal of a polygon is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices. For any convex polygon, all the diagonals are inside the polygon.

How to Calculate Diagonal across M sides of N-gon?

Diagonal across M sides of N-gon calculator uses Diagonal across M Sides of N-gon = (Edge Length of N-gon*sin(pi*M Number of Sides of N-gon/Number of Sides of N-gon))/(sin(pi/Number of Sides of N-gon)) to calculate the Diagonal across M Sides of N-gon, Diagonal across M sides of N-gon formula is defined as the length of the diagonal across M sides of the N sided Polygon. Diagonal across M Sides of N-gon is denoted by dm symbol.

How to calculate Diagonal across M sides of N-gon using this online calculator? To use this online calculator for Diagonal across M sides of N-gon, enter Edge Length of N-gon (le), M Number of Sides of N-gon (MSides) & Number of Sides of N-gon (NSides) and hit the calculate button. Here is how the Diagonal across M sides of N-gon calculation can be explained with given input values -> 18.47759 = (10*sin(pi*6/8))/(sin(pi/8)).

FAQ

What is Diagonal across M sides of N-gon?
Diagonal across M sides of N-gon formula is defined as the length of the diagonal across M sides of the N sided Polygon and is represented as dm = (le*sin(pi*MSides/NSides))/(sin(pi/NSides)) or Diagonal across M Sides of N-gon = (Edge Length of N-gon*sin(pi*M Number of Sides of N-gon/Number of Sides of N-gon))/(sin(pi/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, M Number of Sides of N-gon is the measure of number of sides which is equal to M & Number of Sides of N-gon is the number of line segments required to make a N-gon.
How to calculate Diagonal across M sides of N-gon?
Diagonal across M sides of N-gon formula is defined as the length of the diagonal across M sides of the N sided Polygon is calculated using Diagonal across M Sides of N-gon = (Edge Length of N-gon*sin(pi*M Number of Sides of N-gon/Number of Sides of N-gon))/(sin(pi/Number of Sides of N-gon)). To calculate Diagonal across M sides of N-gon, you need Edge Length of N-gon (le), M Number of Sides of N-gon (MSides) & Number of Sides of N-gon (NSides). With our tool, you need to enter the respective value for Edge Length of N-gon, M Number of Sides 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.
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