Chord Length of Star of Lakshmi given Edge Length Square Calculator

✖The Edge Length of Square in Star of Lakshmi is the measurement of the length of any edge of the square in Star of Lakshmi.ⓘ Edge Length of Square in Star of Lakshmi [l_e(Square)]

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✖Chord Length of Star of Lakshmi is the measurement of a line segment connecting any two vertices of a Star of Lakshmi.ⓘ Chord Length of Star of Lakshmi given Edge Length Square [l_c]

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Chord Length of Star of Lakshmi given Edge Length Square Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chord Length of Star of Lakshmi = (2-sqrt(2))*Edge Length of Square in Star of Lakshmi*cos(pi/8)
l_c = (2-sqrt(2))*l_e(Square)*cos(pi/8)
This formula uses 1 Constants, 2 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Chord Length of Star of Lakshmi - (Measured in Meter) - Chord Length of Star of Lakshmi is the measurement of a line segment connecting any two vertices of a Star of Lakshmi.
Edge Length of Square in Star of Lakshmi - (Measured in Meter) - The Edge Length of Square in Star of Lakshmi is the measurement of the length of any edge of the square in Star of Lakshmi.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Square in Star of Lakshmi: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_c = (2-sqrt(2))*l_e(Square)*cos(pi/8) --> (2-sqrt(2))*10*cos(pi/8)

Evaluating ... ...

l_c = 5.41196100146197

STEP 3: Convert Result to Output's Unit

5.41196100146197 Meter --> No Conversion Required

FINAL ANSWER

5.41196100146197 ≈ 5.411961 Meter <-- Chord Length of Star of Lakshmi

(Calculation completed in 00.004 seconds)

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< Chord Length of Star of Lakshmi Calculators

Chord Length of Star of Lakshmi given Edge Length Square

LaTeX Go Chord Length of Star of Lakshmi = (2-sqrt(2))*Edge Length of Square in Star of Lakshmi*cos(pi/8)

Chord Length of Star of Lakshmi

LaTeX Go Chord Length of Star of Lakshmi = 2*Edge Length of Star in Star of Lakshmi*cos(pi/8)

Chord Length of Star of Lakshmi given Edge Length Square Formula

LaTeX Go

Chord Length of Star of Lakshmi = (2-sqrt(2))*Edge Length of Square in Star of Lakshmi*cos(pi/8)
l_c = (2-sqrt(2))*l_e(Square)*cos(pi/8)

What is Star of Lakshmi?

The Star of Lakshmi is a special octagram, a regular compound polygon, made from two congruent squares with the same center at 45 degrees angle. The interior of a Star of Lakshmi with edges is a regular octagon with side lengths, and the exterior defines 8 congruent isosceles triangles of whichunequal sides joined edges of the regular octagon.

How to Calculate Chord Length of Star of Lakshmi given Edge Length Square?

Chord Length of Star of Lakshmi given Edge Length Square calculator uses Chord Length of Star of Lakshmi = (2-sqrt(2))*Edge Length of Square in Star of Lakshmi*cos(pi/8) to calculate the Chord Length of Star of Lakshmi, The Chord Length of Star of Lakshmi given Edge Length Square formula is defined as the length of the line joining any two adjacent triangular tips of Star of Lakshmi, calculated using its edge length of square. Chord Length of Star of Lakshmi is denoted by l_c symbol.

How to calculate Chord Length of Star of Lakshmi given Edge Length Square using this online calculator? To use this online calculator for Chord Length of Star of Lakshmi given Edge Length Square, enter Edge Length of Square in Star of Lakshmi (l_e(Square)) and hit the calculate button. Here is how the Chord Length of Star of Lakshmi given Edge Length Square calculation can be explained with given input values -> 5.411961 = (2-sqrt(2))*10*cos(pi/8).

FAQ

What is Chord Length of Star of Lakshmi given Edge Length Square?

The Chord Length of Star of Lakshmi given Edge Length Square formula is defined as the length of the line joining any two adjacent triangular tips of Star of Lakshmi, calculated using its edge length of square and is represented as l_c = (2-sqrt(2))*l_e(Square)*cos(pi/8) or Chord Length of Star of Lakshmi = (2-sqrt(2))*Edge Length of Square in Star of Lakshmi*cos(pi/8). The Edge Length of Square in Star of Lakshmi is the measurement of the length of any edge of the square in Star of Lakshmi.

How to calculate Chord Length of Star of Lakshmi given Edge Length Square?

The Chord Length of Star of Lakshmi given Edge Length Square formula is defined as the length of the line joining any two adjacent triangular tips of Star of Lakshmi, calculated using its edge length of square is calculated using Chord Length of Star of Lakshmi = (2-sqrt(2))*Edge Length of Square in Star of Lakshmi*cos(pi/8). To calculate Chord Length of Star of Lakshmi given Edge Length Square, you need Edge Length of Square in Star of Lakshmi (l_e(Square)). With our tool, you need to enter the respective value for Edge Length of Square in Star of Lakshmi 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 Chord Length of Star of Lakshmi?

In this formula, Chord Length of Star of Lakshmi uses Edge Length of Square in Star of Lakshmi. We can use 1 other way(s) to calculate the same, which is/are as follows -

Chord Length of Star of Lakshmi = 2*Edge Length of Star in Star of Lakshmi*cos(pi/8)

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