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Angle beta of Antiparallelogram Solution

STEP 0: Pre-Calculation Summary
Formula Used
angle_b = arccos((Side B^2+Section 2^2-Section 1^2)/(2*Side B*Section 2))
∠B = arccos((Sb^2+e2^2-e1^2)/(2*Sb*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
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)
Section 2 - Section 2 is the section of the symmetrical diagonal towards the opposite angle of a half square kite. (Measured in Meter)
Section 1 - Section 1 is the section of the symmetrical diagonal towards the symmetrical angle. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side B: 7 Meter --> 7 Meter No Conversion Required
Section 2: 7 Meter --> 7 Meter No Conversion Required
Section 1: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
∠B = arccos((Sb^2+e2^2-e1^2)/(2*Sb*e2)) --> arccos((7^2+7^2-5^2)/(2*7*7))
Evaluating ... ...
∠B = 0.730414442580733
STEP 3: Convert Result to Output's Unit
0.730414442580733 Radian -->41.8496648552845 Degree (Check conversion here)
FINAL ANSWER
41.8496648552845 Degree <-- Angle B
(Calculation completed in 00.015 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 beta of Antiparallelogram Formula

angle_b = arccos((Side B^2+Section 2^2-Section 1^2)/(2*Side B*Section 2))
∠B = arccos((Sb^2+e2^2-e1^2)/(2*Sb*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 beta of Antiparallelogram?

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

How to calculate Angle beta of Antiparallelogram using this online calculator? To use this online calculator for Angle beta of Antiparallelogram, enter Side B (Sb), Section 2 (e2) & Section 1 (e1) and hit the calculate button. Here is how the Angle beta of Antiparallelogram calculation can be explained with given input values -> 41.84966 = arccos((7^2+7^2-5^2)/(2*7*7)).

FAQ

What is Angle beta of Antiparallelogram?
The Angle beta of Antiparallelogram formula is defined as the measure swept by two rays of Aantiparallelogram β = arccos( (b² + q² - p²) / (2aq) ) where p, q are sections and b is short side of Antiparallelogram and is represented as ∠B = arccos((Sb^2+e2^2-e1^2)/(2*Sb*e2)) or angle_b = arccos((Side B^2+Section 2^2-Section 1^2)/(2*Side B*Section 2)). 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, Section 2 is the section of the symmetrical diagonal towards the opposite angle of a half square kite & Section 1 is the section of the symmetrical diagonal towards the symmetrical angle.
How to calculate Angle beta of Antiparallelogram?
The Angle beta of Antiparallelogram formula is defined as the measure swept by two rays of Aantiparallelogram β = arccos( (b² + q² - p²) / (2aq) ) where p, q are sections and b is short side of Antiparallelogram is calculated using angle_b = arccos((Side B^2+Section 2^2-Section 1^2)/(2*Side B*Section 2)). To calculate Angle beta of Antiparallelogram, you need Side B (Sb), Section 2 (e2) & Section 1 (e1). With our tool, you need to enter the respective value for Side B, Section 2 & Section 1 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 B?
In this formula, Angle B uses Side B, Section 2 & Section 1. 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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