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Angle alpha of Antiparallelogram Solution

STEP 0: Pre-Calculation Summary
Formula Used
angle_a = arccos((Section 1^2+Section 2^2-Side B^2)/(2*Section 1*Section 2))
∠A = arccos((e1^2+e2^2-Sb^2)/(2*e1*e2))
This formula uses 2 Functions, 3 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
arccos - Inverse trigonometric cosine function, arccos(Number)
Variables Used
Section 1 - Section 1 is the section of the symmetrical diagonal towards the symmetrical angle. (Measured in Meter)
Section 2 - Section 2 is the section of the symmetrical diagonal towards the opposite angle of a half square kite. (Measured in Meter)
Side B - Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Section 1: 5 Meter --> 5 Meter No Conversion Required
Section 2: 7 Meter --> 7 Meter No Conversion Required
Side B: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
∠A = arccos((e1^2+e2^2-Sb^2)/(2*e1*e2)) --> arccos((5^2+7^2-7^2)/(2*5*7))
Evaluating ... ...
∠A = 1.20558910550453
STEP 3: Convert Result to Output's Unit
1.20558910550453 Radian -->69.0751675723747 Degree (Check conversion here)
FINAL ANSWER
69.0751675723747 Degree <-- Angle A
(Calculation completed in 00.016 seconds)

4 Angle of Antiparallelogram Calculators

Angle alpha of Antiparallelogram
angle_a = arccos((Section 1^2+Section 2^2-Side B^2)/(2*Section 1*Section 2)) Go
Angle gamma of Antiparallelogram
angle_c = arccos((Side B^2+Section 1^2-Section 2^2)/(2*Side B*Section 1)) Go
Angle beta of Antiparallelogram
angle_b = arccos((Side B^2+Section 2^2-Section 1^2)/(2*Side B*Section 2)) Go
Outer angle delta of Antiparallelogram
angle_d = pi-Angle A Go

Angle alpha of Antiparallelogram Formula

angle_a = arccos((Section 1^2+Section 2^2-Side B^2)/(2*Section 1*Section 2))
∠A = arccos((e1^2+e2^2-Sb^2)/(2*e1*e2))

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 Angle alpha of Antiparallelogram?

Angle alpha of Antiparallelogram calculator uses angle_a = arccos((Section 1^2+Section 2^2-Side B^2)/(2*Section 1*Section 2)) to calculate the Angle A, The Angle alpha of Antiparallelogram formula is defined as the measure swept by two rays of the given Antiparallelogram α = arccos( (p² + q² - b²) / (2pq) ) where b is short side and p. q are sections of Antiparallelogram. Angle A and is denoted by ∠A symbol.

How to calculate Angle alpha of Antiparallelogram using this online calculator? To use this online calculator for Angle alpha of Antiparallelogram, enter Section 1 (e1), Section 2 (e2) & Side B (Sb) and hit the calculate button. Here is how the Angle alpha of Antiparallelogram calculation can be explained with given input values -> 69.07517 = arccos((5^2+7^2-7^2)/(2*5*7)).

FAQ

What is Angle alpha of Antiparallelogram?
The Angle alpha of Antiparallelogram formula is defined as the measure swept by two rays of the given Antiparallelogram α = arccos( (p² + q² - b²) / (2pq) ) where b is short side and p. q are sections of Antiparallelogram and is represented as ∠A = arccos((e1^2+e2^2-Sb^2)/(2*e1*e2)) or angle_a = arccos((Section 1^2+Section 2^2-Side B^2)/(2*Section 1*Section 2)). Section 1 is the section of the symmetrical diagonal towards the symmetrical angle, Section 2 is the section of the symmetrical diagonal towards the opposite angle of a half square kite & Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Angle alpha of Antiparallelogram?
The Angle alpha of Antiparallelogram formula is defined as the measure swept by two rays of the given Antiparallelogram α = arccos( (p² + q² - b²) / (2pq) ) where b is short side and p. q are sections of Antiparallelogram is calculated using angle_a = arccos((Section 1^2+Section 2^2-Side B^2)/(2*Section 1*Section 2)). To calculate Angle alpha of Antiparallelogram, you need Section 1 (e1), Section 2 (e2) & Side B (Sb). With our tool, you need to enter the respective value for Section 1, Section 2 & Side B 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 Angle A?
In this formula, Angle A uses Section 1, Section 2 & Side B. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • angle_a = arccos((Section 1^2+Section 2^2-Side B^2)/(2*Section 1*Section 2))
  • angle_b = arccos((Side B^2+Section 2^2-Section 1^2)/(2*Side B*Section 2))
  • angle_c = arccos((Side B^2+Section 1^2-Section 2^2)/(2*Side B*Section 1))
  • angle_d = pi-Angle A
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