Intersection Angle of Crossed Rectangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Intersection Angle of Crossed Rectangle = pi-Apex Angle of Crossed Rectangle
Intersection = pi-Apex
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Intersection Angle of Crossed Rectangle - (Measured in Radian) - Intersection Angle of Crossed Rectangle is the outer angle forming at the intersection of isosceles triangles to form the Crossed Rectangle.
Apex Angle of Crossed Rectangle - (Measured in Radian) - Apex Angle of Crossed Rectangle is the unequal angle of any of the isosceles triangles in the Crossed Rectangle.
STEP 1: Convert Input(s) to Base Unit
Apex Angle of Crossed Rectangle: 75 Degree --> 1.3089969389955 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Intersection = pi-∠Apex --> pi-1.3089969389955
Evaluating ... ...
Intersection = 1.83259571459429
STEP 3: Convert Result to Output's Unit
1.83259571459429 Radian -->105.000000000034 Degree (Check conversion here)
FINAL ANSWER
105.000000000034 105 Degree <-- Intersection Angle of Crossed Rectangle
(Calculation completed in 00.020 seconds)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Walchand College of Engineering (WCE), Sangli
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3 Angles of Crossed Rectangle Calculators

Apex Angle of Crossed Rectangle
Go Apex Angle of Crossed Rectangle = arccos(((2*Leg Length of Crossed Rectangle^2)-Base Length of Crossed Rectangle^2)/(2*Leg Length of Crossed Rectangle^2))
Intersection Angle of Crossed Rectangle
Go Intersection Angle of Crossed Rectangle = pi-Apex Angle of Crossed Rectangle
Base Angle of Crossed Rectangle
Go Base Angle of Crossed Rectangle = Intersection Angle of Crossed Rectangle/2

Intersection Angle of Crossed Rectangle Formula

Intersection Angle of Crossed Rectangle = pi-Apex Angle of Crossed Rectangle
Intersection = pi-Apex

What is a Crossed Rectangle?

A Crossed Rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals (therefore only two sides are parallel). It is a special case of an antiparallelogram, and its angles are not right angles and not all equal, though opposite angles are equal. Geometrically a Crossed Rectangle consists of two congruent isosceles triangles joined symmetrically each other at the corner of unequal angle.

How to Calculate Intersection Angle of Crossed Rectangle?

Intersection Angle of Crossed Rectangle calculator uses Intersection Angle of Crossed Rectangle = pi-Apex Angle of Crossed Rectangle to calculate the Intersection Angle of Crossed Rectangle, Intersection Angle of Crossed Rectangle formula is defined as the outer angle forming at the intersection of isosceles triangles to form the Crossed Rectangle. Intersection Angle of Crossed Rectangle is denoted by Intersection symbol.

How to calculate Intersection Angle of Crossed Rectangle using this online calculator? To use this online calculator for Intersection Angle of Crossed Rectangle, enter Apex Angle of Crossed Rectangle (∠Apex) and hit the calculate button. Here is how the Intersection Angle of Crossed Rectangle calculation can be explained with given input values -> 6016.057 = pi-1.3089969389955.

FAQ

What is Intersection Angle of Crossed Rectangle?
Intersection Angle of Crossed Rectangle formula is defined as the outer angle forming at the intersection of isosceles triangles to form the Crossed Rectangle and is represented as Intersection = pi-∠Apex or Intersection Angle of Crossed Rectangle = pi-Apex Angle of Crossed Rectangle. Apex Angle of Crossed Rectangle is the unequal angle of any of the isosceles triangles in the Crossed Rectangle.
How to calculate Intersection Angle of Crossed Rectangle?
Intersection Angle of Crossed Rectangle formula is defined as the outer angle forming at the intersection of isosceles triangles to form the Crossed Rectangle is calculated using Intersection Angle of Crossed Rectangle = pi-Apex Angle of Crossed Rectangle. To calculate Intersection Angle of Crossed Rectangle, you need Apex Angle of Crossed Rectangle (∠Apex). With our tool, you need to enter the respective value for Apex Angle of Crossed Rectangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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