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First angle of Kite Solution

STEP 0: Pre-Calculation Summary
Formula Used
angle_a = arccos(((Distance Between the Points^2)+(Side A^2)-(Diagonal 2/2)^2)/(2*Distance Between the Points*Side A))
∠A = arccos(((dl^2)+(Sa^2)-(d2/2)^2)/(2*dl*Sa))
This formula uses 2 Functions, 3 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
arccos - Inverse trigonometric cosine function, arccos(Number)
Variables Used
Distance Between the Points - Distance Between the Points Contributing to the change in Head. (Measured in Meter)
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)
Diagonal 2 - The Diagonal 2 is the line stretching from one corner of the figure to the opposite corner through the center of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Distance Between the Points: 10 Meter --> 10 Meter No Conversion Required
Side A: 8 Meter --> 8 Meter No Conversion Required
Diagonal 2: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
∠A = arccos(((dl^2)+(Sa^2)-(d2/2)^2)/(2*dl*Sa)) --> arccos(((10^2)+(8^2)-(10/2)^2)/(2*10*8))
Evaluating ... ...
∠A = 0.518123594506538
STEP 3: Convert Result to Output's Unit
0.518123594506538 Radian -->29.6862952313779 Degree (Check conversion here)
FINAL ANSWER
29.6862952313779 Degree <-- Angle A
(Calculation completed in 00.016 seconds)

5 Angle, Area and Perimeter of Kite Calculators

Second angle of Kite
angle_b = arccos((((Symmetry Diagonal-Distance from center to a point)^2)+(Side B^2)-(Diagonal/2)^2)/(2*(Symmetry Diagonal-Distance from center to a point)*(Side B))) Go
First angle of Kite
angle_a = arccos(((Distance Between the Points^2)+(Side A^2)-(Diagonal 2/2)^2)/(2*Distance Between the Points*Side A)) Go
Third angle of Kite
angle_c = ((2*pi)-Angle A-Angle B)/2 Go
Area of Kite
area = (Symmetry Diagonal*Diagonal)/2 Go
Perimeter of Kite
perimeter = 2*(Side A+Side B) Go

First angle of Kite Formula

angle_a = arccos(((Distance Between the Points^2)+(Side A^2)-(Diagonal 2/2)^2)/(2*Distance Between the Points*Side A))
∠A = arccos(((dl^2)+(Sa^2)-(d2/2)^2)/(2*dl*Sa))

What is a kite?

In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other instead of being adjacent.

How to Calculate First angle of Kite?

First angle of Kite calculator uses angle_a = arccos(((Distance Between the Points^2)+(Side A^2)-(Diagonal 2/2)^2)/(2*Distance Between the Points*Side A)) to calculate the Angle A, The First angle of kite formula is defined as α = arccos( (c²+a²-(f/2)²) / (2*c*a)) a is first side, f is other diagonal and c is distance between two points of kite. Angle A and is denoted by ∠A symbol.

How to calculate First angle of Kite using this online calculator? To use this online calculator for First angle of Kite, enter Distance Between the Points (dl), Side A (Sa) & Diagonal 2 (d2) and hit the calculate button. Here is how the First angle of Kite calculation can be explained with given input values -> 29.6863 = arccos(((10^2)+(8^2)-(10/2)^2)/(2*10*8)).

FAQ

What is First angle of Kite?
The First angle of kite formula is defined as α = arccos( (c²+a²-(f/2)²) / (2*c*a)) a is first side, f is other diagonal and c is distance between two points of kite and is represented as ∠A = arccos(((dl^2)+(Sa^2)-(d2/2)^2)/(2*dl*Sa)) or angle_a = arccos(((Distance Between the Points^2)+(Side A^2)-(Diagonal 2/2)^2)/(2*Distance Between the Points*Side A)). Distance Between the Points Contributing to the change in Head, 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 & The Diagonal 2 is the line stretching from one corner of the figure to the opposite corner through the center of the figure.
How to calculate First angle of Kite?
The First angle of kite formula is defined as α = arccos( (c²+a²-(f/2)²) / (2*c*a)) a is first side, f is other diagonal and c is distance between two points of kite is calculated using angle_a = arccos(((Distance Between the Points^2)+(Side A^2)-(Diagonal 2/2)^2)/(2*Distance Between the Points*Side A)). To calculate First angle of Kite, you need Distance Between the Points (dl), Side A (Sa) & Diagonal 2 (d2). With our tool, you need to enter the respective value for Distance Between the Points, Side A & Diagonal 2 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 Distance Between the Points, Side A & Diagonal 2. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • perimeter = 2*(Side A+Side B)
  • area = (Symmetry Diagonal*Diagonal)/2
  • angle_a = arccos(((Distance Between the Points^2)+(Side A^2)-(Diagonal 2/2)^2)/(2*Distance Between the Points*Side A))
  • angle_b = arccos((((Symmetry Diagonal-Distance from center to a point)^2)+(Side B^2)-(Diagonal/2)^2)/(2*(Symmetry Diagonal-Distance from center to a point)*(Side B)))
  • angle_c = ((2*pi)-Angle A-Angle B)/2
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