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Long Chord of Antiparallelogram Solution

STEP 0: Pre-Calculation Summary
Formula Used
long_chord_length = sqrt((2*Section 1^2)-(cos(pi-Angle A)*(2*Section 1^2)))
LLong_Chord = sqrt((2*e1^2)-(cos(pi-∠A)*(2*e1^2)))
This formula uses 1 Constants, 2 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cos - Trigonometric cosine function, cos(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Section 1 - Section 1 is the section of the symmetrical diagonal towards the symmetrical angle. (Measured in Meter)
Angle A - The angle A the space between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Section 1: 5 Meter --> 5 Meter No Conversion Required
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LLong_Chord = sqrt((2*e1^2)-(cos(pi-∠A)*(2*e1^2))) --> sqrt((2*5^2)-(cos(pi-0.5235987755982)*(2*5^2)))
Evaluating ... ...
LLong_Chord = 9.65925826289068
STEP 3: Convert Result to Output's Unit
9.65925826289068 Meter --> No Conversion Required
FINAL ANSWER
9.65925826289068 Meter <-- Long Chord Length
(Calculation completed in 00.015 seconds)

2 Chord of Antiparallelogram Calculators

Short Chord of Antiparallelogram
short_chord_length = sqrt((2*Section 2^2)-(cos(pi-Angle A)*(2*Section 2^2))) Go
Long Chord of Antiparallelogram
long_chord_length = sqrt((2*Section 1^2)-(cos(pi-Angle A)*(2*Section 1^2))) Go

Long Chord of Antiparallelogram Formula

long_chord_length = sqrt((2*Section 1^2)-(cos(pi-Angle A)*(2*Section 1^2)))
LLong_Chord = sqrt((2*e1^2)-(cos(pi-∠A)*(2*e1^2)))

What is an antiparallelogram?

In geometry, an antiparallelogram is a type of self-crossing quadrilateral. Like a parallelogram, an antiparallelogram has two opposite pairs of equal-length sides, but the sides in the longer pair cross each other as in a scissors mechanism. Antiparallelograms are also called contraparallelograms or crossed parallelograms. An antiparallelogram is a special case of a crossed quadrilateral, which has generally unequal edges.

How to Calculate Long Chord of Antiparallelogram?

Long Chord of Antiparallelogram calculator uses long_chord_length = sqrt((2*Section 1^2)-(cos(pi-Angle A)*(2*Section 1^2))) to calculate the Long Chord Length, Long Chord of Antiparallelogram formula is defined as length of longer chord of an Antiparallelogram. Long Chord Length and is denoted by LLong_Chord symbol.

How to calculate Long Chord of Antiparallelogram using this online calculator? To use this online calculator for Long Chord of Antiparallelogram, enter Section 1 (e1) & Angle A (∠A) and hit the calculate button. Here is how the Long Chord of Antiparallelogram calculation can be explained with given input values -> 9.659258 = sqrt((2*5^2)-(cos(pi-0.5235987755982)*(2*5^2))).

FAQ

What is Long Chord of Antiparallelogram?
Long Chord of Antiparallelogram formula is defined as length of longer chord of an Antiparallelogram and is represented as LLong_Chord = sqrt((2*e1^2)-(cos(pi-∠A)*(2*e1^2))) or long_chord_length = sqrt((2*Section 1^2)-(cos(pi-Angle A)*(2*Section 1^2))). Section 1 is the section of the symmetrical diagonal towards the symmetrical angle & The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Long Chord of Antiparallelogram?
Long Chord of Antiparallelogram formula is defined as length of longer chord of an Antiparallelogram is calculated using long_chord_length = sqrt((2*Section 1^2)-(cos(pi-Angle A)*(2*Section 1^2))). To calculate Long Chord of Antiparallelogram, you need Section 1 (e1) & Angle A (∠A). With our tool, you need to enter the respective value for Section 1 & Angle A 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 Long Chord Length?
In this formula, Long Chord Length uses Section 1 & Angle A. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • long_chord_length = sqrt((2*Section 1^2)-(cos(pi-Angle A)*(2*Section 1^2)))
  • short_chord_length = sqrt((2*Section 2^2)-(cos(pi-Angle A)*(2*Section 2^2)))
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