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Obtuse angle of Right Kite Solution

STEP 0: Pre-Calculation Summary
Formula Used
obtuse_angle = 2*arccos((Side A^2+Symmetry diagonal^2-Side B^2)/(2*Side A*Symmetry diagonal))
AngleObtuse = 2*arccos((Sa^2+f^2-Sb^2)/(2*Sa*f))
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 A - Side A 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)
Symmetry diagonal - Symmetry diagonal is the diagonal of kite which is perpendicular to the other diagonal. (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
Side A: 8 Meter --> 8 Meter No Conversion Required
Symmetry diagonal: 10 Meter --> 10 Meter No Conversion Required
Side B: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
AngleObtuse = 2*arccos((Sa^2+f^2-Sb^2)/(2*Sa*f)) --> 2*arccos((8^2+10^2-7^2)/(2*8*10))
Evaluating ... ...
AngleObtuse = 1.53758709798256
STEP 3: Convert Result to Output's Unit
1.53758709798256 Radian -->88.0972513481852 Degree (Check conversion here)
FINAL ANSWER
88.0972513481852 Degree <-- Obtuse Angle
(Calculation completed in 00.016 seconds)

4 Angle, Area and Perimeter of Right Kite Calculators

Obtuse angle of Right Kite
obtuse_angle = 2*arccos((Side A^2+Symmetry diagonal^2-Side B^2)/(2*Side A*Symmetry diagonal)) Go
Acute angle of Right Kite
acute_angle = pi-Obtuse Angle Go
Perimeter of Right Kite
perimeter = 2*(Side A+Side B) Go
Area of Right Kite
area = Side A*Side B Go

Obtuse angle of Right Kite Formula

obtuse_angle = 2*arccos((Side A^2+Symmetry diagonal^2-Side B^2)/(2*Side A*Symmetry diagonal))
AngleObtuse = 2*arccos((Sa^2+f^2-Sb^2)/(2*Sa*f))

What is a right kite?

In Euclidean geometry, a right kite is a kite (a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other) that can be inscribed in a circle. That is, it is a kite with a circumcircle (i.e., a cyclic kite). Thus the right kite is a convex quadrilateral and has two opposite right angles.

How to Calculate Obtuse angle of Right Kite?

Obtuse angle of Right Kite calculator uses obtuse_angle = 2*arccos((Side A^2+Symmetry diagonal^2-Side B^2)/(2*Side A*Symmetry diagonal)) to calculate the Obtuse Angle, The Obtuse angle of right kite formula is defined as α = 2 * arccos( (a² + e² - b²) / (2ae) ) where a is short side, e is symmetry diagonal and b is long side of right kite. Obtuse Angle and is denoted by AngleObtuse symbol.

How to calculate Obtuse angle of Right Kite using this online calculator? To use this online calculator for Obtuse angle of Right Kite, enter Side A (Sa), Symmetry diagonal (f) & Side B (Sb) and hit the calculate button. Here is how the Obtuse angle of Right Kite calculation can be explained with given input values -> 88.09725 = 2*arccos((8^2+10^2-7^2)/(2*8*10)).

FAQ

What is Obtuse angle of Right Kite?
The Obtuse angle of right kite formula is defined as α = 2 * arccos( (a² + e² - b²) / (2ae) ) where a is short side, e is symmetry diagonal and b is long side of right kite and is represented as AngleObtuse = 2*arccos((Sa^2+f^2-Sb^2)/(2*Sa*f)) or obtuse_angle = 2*arccos((Side A^2+Symmetry diagonal^2-Side B^2)/(2*Side A*Symmetry diagonal)). Side A 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, Symmetry diagonal is the diagonal of kite which is perpendicular to the other diagonal & 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 Obtuse angle of Right Kite?
The Obtuse angle of right kite formula is defined as α = 2 * arccos( (a² + e² - b²) / (2ae) ) where a is short side, e is symmetry diagonal and b is long side of right kite is calculated using obtuse_angle = 2*arccos((Side A^2+Symmetry diagonal^2-Side B^2)/(2*Side A*Symmetry diagonal)). To calculate Obtuse angle of Right Kite, you need Side A (Sa), Symmetry diagonal (f) & Side B (Sb). With our tool, you need to enter the respective value for Side A, Symmetry diagonal & 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 Obtuse Angle?
In this formula, Obtuse Angle uses Side A, Symmetry diagonal & Side B. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • perimeter = 2*(Side A+Side B)
  • area = Side A*Side B
  • obtuse_angle = 2*arccos((Side A^2+Symmetry diagonal^2-Side B^2)/(2*Side A*Symmetry diagonal))
  • acute_angle = pi-Obtuse Angle
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