Area of X Shape Calculator

Main Category	Math ↺
Math	Geometry ↺
Geometry	2D Geometry ↺
2D Geometry	X Shape ↺
X Shape	Area of X Shape ↺

✖Bar Length of X Shape is defined as the length of one bar out of two bars of X Shape.ⓘ Bar Length of X Shape [BL_{X Shape}]			+10% -10%
✖Bar thickness of X Shape is defined as the thickness of one of the bars of X Shape.ⓘ Bar thickness of X Shape [BT_{X Shape}]			+10% -10%
✖The Bottom and Top Angle of X Shape are the bottom-most and top-most angles of the X-Shape formed due to the intersection of two bars forming the X-Shape.ⓘ Bottom and Top Angle of X Shape [Angle_Bottom/Top]			+10% -10%

✖The area of X Shape is defined as the total area enclosed inside the X Shape.ⓘ Area of X Shape [A_{X Shape}]

⎘ Copy

👎

Formula

Reset

👍

Credits

Created by Devendar Kachhwaha

Indian Institute of technology (IIT-BHU), Varanasi

Devendar Kachhwaha has created this Calculator and 25+ more calculators!

Verified by Nayana Phulphagar

Institute of chartered and financial Analysts of India National college (ICFAI National college), HUBLI

Nayana Phulphagar has verified this Calculator and 25+ more calculators!

Area of X Shape Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of X Shape = (2*Bar Length of X Shape*Bar thickness of X Shape*sin(Bottom and Top Angle of X Shape))-(((Bar thickness of X Shape^2)/2)*cot(Bottom and Top Angle of X Shape/2))
A_{X Shape} = (2*BL_{X Shape}*BT_{X Shape}*sin(Angle_Bottom/Top))-(((BT_{X Shape}^2)/2)*cot(Angle_Bottom/Top/2))
This formula uses 2 Functions, 3 Variables

Functions Used

sin - Trigonometric sine function, sin(Angle)
cot - Trigonometric cotangent function, cot(Angle)

Variables Used

Bar Length of X Shape - Bar Length of X Shape is defined as the length of one bar out of two bars of X Shape. (Measured in Meter)
Bar thickness of X Shape - Bar thickness of X Shape is defined as the thickness of one of the bars of X Shape. (Measured in Meter)
Bottom and Top Angle of X Shape - The Bottom and Top Angle of X Shape are the bottom-most and top-most angles of the X-Shape formed due to the intersection of two bars forming the X-Shape. (Measured in Degree)

STEP 1: Convert Input(s) to Base Unit

Bar Length of X Shape: 20 Meter --> 20 Meter No Conversion Required
Bar thickness of X Shape: 2 Meter --> 2 Meter No Conversion Required
Bottom and Top Angle of X Shape: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_{X Shape} = (2*BL_{X Shape}*BT_{X Shape}*sin(Angle_Bottom/Top))-(((BT_{X Shape}^2)/2)*cot(Angle_Bottom/Top/2)) --> (2*20*2*sin(0.785398163397301))-(((2^2)/2)*cot(0.785398163397301/2))

Evaluating ... ...

A_{X Shape} = 51.7401153701683

STEP 3: Convert Result to Output's Unit

51.7401153701683 Square Meter --> No Conversion Required

FINAL ANSWER

51.7401153701683 Square Meter <-- Area of X Shape

(Calculation completed in 00.016 seconds)

You are here

< 2 Area of X Shape Calculators

Area of X Shape given left or right angle

Area of X Shape = 2*Bar Length of X Shape*Bar thickness of X Shape*sin(Left and Right Angle of x Shape)-(Bar thickness of X Shape*sin(Left and Right Angle of x Shape/2)/sin(Left and Right Angle of x Shape))^2*sin(Left and Right Angle of x Shape) Go

Area of X Shape

Area of X Shape = (2*Bar Length of X Shape*Bar thickness of X Shape*sin(Bottom and Top Angle of X Shape))-(((Bar thickness of X Shape^2)/2)*cot(Bottom and Top Angle of X Shape/2)) Go

Area of X Shape Formula

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. The intersection of both bars is a rhombus of which side length is called crossing length.

How to Calculate Area of X Shape?

Area of X Shape calculator uses Area of X Shape = (2*Bar Length of X Shape*Bar thickness of X Shape*sin(Bottom and Top Angle of X Shape))-(((Bar thickness of X Shape^2)/2)*cot(Bottom and Top Angle of X Shape/2)) to calculate the Area of X Shape, The Area of X Shape is defined as the total space occupied by the X Shape in 2D space. Area of X Shape is denoted by A_{X Shape} symbol.

How to calculate Area of X Shape using this online calculator? To use this online calculator for Area of X Shape, enter Bar Length of X Shape (BL_{X Shape}), Bar thickness of X Shape (BT_{X Shape}) & Bottom and Top Angle of X Shape (Angle_Bottom/Top) and hit the calculate button. Here is how the Area of X Shape calculation can be explained with given input values -> 51.74012 = (2*20*2*sin(0.785398163397301))-(((2^2)/2)*cot(0.785398163397301/2)).

FAQ

What is Area of X Shape?

The Area of X Shape is defined as the total space occupied by the X Shape in 2D space and is represented as A_{X Shape} = (2*BL_{X Shape}*BT_{X Shape}*sin(Angle_Bottom/Top))-(((BT_{X Shape}^2)/2)*cot(Angle_Bottom/Top/2)) or Area of X Shape = (2*Bar Length of X Shape*Bar thickness of X Shape*sin(Bottom and Top Angle of X Shape))-(((Bar thickness of X Shape^2)/2)*cot(Bottom and Top Angle of X Shape/2)). Bar Length of X Shape is defined as the length of one bar out of two bars of X Shape, Bar thickness of X Shape is defined as the thickness of one of the bars of X Shape & The Bottom and Top Angle of X Shape are the bottom-most and top-most angles of the X-Shape formed due to the intersection of two bars forming the X-Shape.

How to calculate Area of X Shape?

The Area of X Shape is defined as the total space occupied by the X Shape in 2D space is calculated using Area of X Shape = (2*Bar Length of X Shape*Bar thickness of X Shape*sin(Bottom and Top Angle of X Shape))-(((Bar thickness of X Shape^2)/2)*cot(Bottom and Top Angle of X Shape/2)). To calculate Area of X Shape, you need Bar Length of X Shape (BL_{X Shape}), Bar thickness of X Shape (BT_{X Shape}) & Bottom and Top Angle of X Shape (Angle_Bottom/Top). With our tool, you need to enter the respective value for Bar Length of X Shape, Bar thickness of X Shape & Bottom and Top Angle of X Shape 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 of X Shape?

In this formula, Area of X Shape uses Bar Length of X Shape, Bar thickness of X Shape & Bottom and Top Angle of X Shape. We can use 1 other way(s) to calculate the same, which is/are as follows -

Area of X Shape = 2*Bar Length of X Shape*Bar thickness of X Shape*sin(Left and Right Angle of x Shape)-(Bar thickness of X Shape*sin(Left and Right Angle of x Shape/2)/sin(Left and Right Angle of x Shape))^2*sin(Left and Right Angle of x Shape)

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!