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Second angle of Kite Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
∠B = arccos((((f-a)^2)+(Sb^2)-(d/2)^2)/(2*(f-a)*(Sb)))
This formula uses 2 Functions, 4 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
arccos - Inverse trigonometric cosine function, arccos(Number)
Variables Used
Symmetry diagonal - Symmetry diagonal is the diagonal of kite which is perpendicular to the other diagonal. (Measured in Meter)
Distance from center to a point - Distance from center to a point is the length of line segment measured from the center of a body to a particular point. (Measured in Centimeter)
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)
Diagonal - A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Symmetry diagonal: 10 Meter --> 10 Meter No Conversion Required
Distance from center to a point: 10 Centimeter --> 0.1 Meter (Check conversion here)
Side B: 7 Meter --> 7 Meter No Conversion Required
Diagonal: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
∠B = arccos((((f-a)^2)+(Sb^2)-(d/2)^2)/(2*(f-a)*(Sb))) --> arccos((((10-0.1)^2)+(7^2)-(8/2)^2)/(2*(10-0.1)*(7)))
Evaluating ... ...
∠B = 0.332472993351533
STEP 3: Convert Result to Output's Unit
0.332472993351533 Radian -->19.0492993211275 Degree (Check conversion here)
FINAL ANSWER
19.0492993211275 Degree <-- Angle B
(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

Second angle of Kite Formula

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)))
∠B = arccos((((f-a)^2)+(Sb^2)-(d/2)^2)/(2*(f-a)*(Sb)))

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 Second angle of Kite?

Second angle of Kite calculator uses 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))) to calculate the Angle B, The Second angle of kite formula is defined as y= arccos( ((e-c)²+b²-(f/2)²) / ( 2*(e-c)*b ) ) where e is symmetry digonal, f is other diagonal, b is second side of kite. Angle B and is denoted by ∠B symbol.

How to calculate Second angle of Kite using this online calculator? To use this online calculator for Second angle of Kite, enter Symmetry diagonal (f), Distance from center to a point (a), Side B (Sb) & Diagonal (d) and hit the calculate button. Here is how the Second angle of Kite calculation can be explained with given input values -> 19.0493 = arccos((((10-0.1)^2)+(7^2)-(8/2)^2)/(2*(10-0.1)*(7))).

FAQ

What is Second angle of Kite?
The Second angle of kite formula is defined as y= arccos( ((e-c)²+b²-(f/2)²) / ( 2*(e-c)*b ) ) where e is symmetry digonal, f is other diagonal, b is second side of kite and is represented as ∠B = arccos((((f-a)^2)+(Sb^2)-(d/2)^2)/(2*(f-a)*(Sb))) or 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))). Symmetry diagonal is the diagonal of kite which is perpendicular to the other diagonal, Distance from center to a point is the length of line segment measured from the center of a body to a particular point, 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 & A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape.
How to calculate Second angle of Kite?
The Second angle of kite formula is defined as y= arccos( ((e-c)²+b²-(f/2)²) / ( 2*(e-c)*b ) ) where e is symmetry digonal, f is other diagonal, b is second side of kite is calculated using 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))). To calculate Second angle of Kite, you need Symmetry diagonal (f), Distance from center to a point (a), Side B (Sb) & Diagonal (d). With our tool, you need to enter the respective value for Symmetry diagonal, Distance from center to a point, Side B & Diagonal 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 Symmetry diagonal, Distance from center to a point, Side B & Diagonal. 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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