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Indian Institute of technology (IIT-BHU), Varanasi
Devendar Kachhwaha has created this Calculator and 25+ more calculators!
Institute of chartered and financial Analysts of India National college (ICFAI National college), HUBLI
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Area of X Shape given right angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area = 2*Length*Thickness*sin(Right angle)-(Thickness*sin(Right angle/2)/sin(Right angle))^2*sin(Right angle)
A = 2*L*t*sin(AngleRight)-(t*sin(AngleRight/2)/sin(AngleRight))^2*sin(AngleRight)
This formula uses 1 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
Thickness - Thickness is the distance through an object. (Measured in Meter)
Right angle - The Right angle is the rightmost angle in the given geometry. (Measured in Radian)
STEP 1: Convert Input(s) to Base Unit
Length: 3 Meter --> 3 Meter No Conversion Required
Thickness: 1 Meter --> 1 Meter No Conversion Required
Right angle: 2.614 Radian --> 2.614 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 2*L*t*sin(AngleRight)-(t*sin(AngleRight/2)/sin(AngleRight))^2*sin(AngleRight) --> 2*3*1*sin(2.614)-(1*sin(2.614/2)/sin(2.614))^2*sin(2.614)
Evaluating ... ...
A = 1.16949852533226
STEP 3: Convert Result to Output's Unit
1.16949852533226 Square Meter --> No Conversion Required
FINAL ANSWER
1.16949852533226 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

10+ X Shape Calculators

Perimeter of X Shape
Perimeter = 4*(Thickness+Length-Thickness*sin(pi/2-atan(Width/Height))/sin(pi-2*atan(Width/Height))) Go
Inner arm length of X Shape
Inner arm length = Length/2-Thickness*sin(pi/2-atan(Width/Height))/sin(pi-2*atan(Width/Height)) Go
Crossing length of X Shape
Crossing Length = Thickness*sin(pi/2-atan(Width/Height))/sin(pi-2*atan(Width/Height)) Go
Area of X Shape given crossing length
Area = (2*Length*Thickness*sin(Top angle))-(((Crossing Length)^2)*sin(Top angle)) Go
Crossing length of X Shape given top angle
Crossing Length = (Thickness/2)*cosec(Top angle/2) Go
Bottom angle of X Shape
Bottom angle = 2*atan(Width/Height) Go
Right angle of X Shape
Right angle = 2*atan(Height/Width) Go
Left angle of X Shape
Left angle = 2*atan(Height/Width) Go
Top angle of X Shape
Top angle = 2*atan(Width/Height) Go
Outer arm length of X Shape
Outer Arm Length = Length/2 Go

Area of X Shape given right angle Formula

Area = 2*Length*Thickness*sin(Right angle)-(Thickness*sin(Right angle/2)/sin(Right angle))^2*sin(Right angle)
A = 2*L*t*sin(AngleRight)-(t*sin(AngleRight/2)/sin(AngleRight))^2*sin(AngleRight)

What is X Shape?

When a parallelogram shaped bar is reflected and connected with the original bar in the center, then the formed shape is known as X Shape.

How to Calculate Area of X Shape given right angle?

Area of X Shape given right angle calculator uses Area = 2*Length*Thickness*sin(Right angle)-(Thickness*sin(Right angle/2)/sin(Right angle))^2*sin(Right angle) to calculate the Area, The Area of X Shape given right angle formula is defined as the total space occupied by the X shape in 2D space, calculated using the right angle. Area is denoted by A symbol.

How to calculate Area of X Shape given right angle using this online calculator? To use this online calculator for Area of X Shape given right angle, enter Length (L), Thickness (t) & Right angle (AngleRight) and hit the calculate button. Here is how the Area of X Shape given right angle calculation can be explained with given input values -> 1.169499 = 2*3*1*sin(2.614)-(1*sin(2.614/2)/sin(2.614))^2*sin(2.614).

FAQ

What is Area of X Shape given right angle?
The Area of X Shape given right angle formula is defined as the total space occupied by the X shape in 2D space, calculated using the right angle and is represented as A = 2*L*t*sin(AngleRight)-(t*sin(AngleRight/2)/sin(AngleRight))^2*sin(AngleRight) or Area = 2*Length*Thickness*sin(Right angle)-(Thickness*sin(Right angle/2)/sin(Right angle))^2*sin(Right angle). Length is the measurement or extent of something from end to end, Thickness is the distance through an object & The Right angle is the rightmost angle in the given geometry.
How to calculate Area of X Shape given right angle?
The Area of X Shape given right angle formula is defined as the total space occupied by the X shape in 2D space, calculated using the right angle is calculated using Area = 2*Length*Thickness*sin(Right angle)-(Thickness*sin(Right angle/2)/sin(Right angle))^2*sin(Right angle). To calculate Area of X Shape given right angle, you need Length (L), Thickness (t) & Right angle (AngleRight). With our tool, you need to enter the respective value for Length, Thickness & Right angle 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 Area?
In this formula, Area uses Length, Thickness & Right angle. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Area = (2*Length*Thickness*sin(Top angle))-(((Crossing Length)^2)*sin(Top angle))
  • Area = (2*Length*Thickness*sin(Top angle))-(((Thickness^2)/2)*cot(Top angle/2))
  • Area = (2*Length*Thickness*sin(Bottom angle))-((((Thickness)^2)*cot(Bottom angle/2))/2)
  • Area = (2*Length*Thickness*sin(Left angle))-(((Crossing Length)^2)*sin(Left angle))
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