Apex Angle of Crossed Rectangle Calculator

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Angles of Crossed Rectangle

Area and Perimeter of Crossed Rectangle

Edges of Crossed Rectangle

✖Leg Length of Crossed Rectangle is the length of equal sides of any of the isosceles triangles present in the Crossed Rectangle.ⓘ Leg Length of Crossed Rectangle [l_Leg]			+10% -10%
✖Base Length of Crossed Rectangle is the unequal side of any of the isosceles triangles present in the Crossed Rectangle.ⓘ Base Length of Crossed Rectangle [l_Base]			+10% -10%

✖Apex Angle of Crossed Rectangle is the unequal angle of any of the isosceles triangles in the Crossed Rectangle.ⓘ Apex Angle of Crossed Rectangle [∠_Apex]

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Formula

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Apex Angle of Crossed Rectangle

Formula

`"∠"_{"Apex"} = arccos(((2*"l"_{"Leg"}^2)-"l"_{"Base"}^2)/(2*"l"_{"Leg"}^2))`

Example

`"106.2602°"=arccos(((2*("5m")^2)-("8m")^2)/(2*("5m")^2))`

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Apex Angle of Crossed Rectangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
∠_Apex = arccos(((2*l_Leg^2)-l_Base^2)/(2*l_Leg^2))
This formula uses 2 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
arccos - Arccosine function, is the inverse function of the cosine function.It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., arccos(Number)

Variables Used

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.
Leg Length of Crossed Rectangle - (Measured in Meter) - Leg Length of Crossed Rectangle is the length of equal sides of any of the isosceles triangles present in the Crossed Rectangle.
Base Length of Crossed Rectangle - (Measured in Meter) - Base Length of Crossed Rectangle is the unequal side of any of the isosceles triangles present in the Crossed Rectangle.

STEP 1: Convert Input(s) to Base Unit

Leg Length of Crossed Rectangle: 5 Meter --> 5 Meter No Conversion Required
Base Length of Crossed Rectangle: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Apex = arccos(((2*l_Leg^2)-l_Base^2)/(2*l_Leg^2)) --> arccos(((2*5^2)-8^2)/(2*5^2))

Evaluating ... ...

∠_Apex = 1.85459043600322

STEP 3: Convert Result to Output's Unit

1.85459043600322 Radian -->106.260204708332 Degree (Check conversion here)

FINAL ANSWER

106.260204708332 ≈ 106.2602 Degree <-- Apex Angle of Crossed Rectangle

(Calculation completed in 00.004 seconds)

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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

Apex Angle of Crossed Rectangle Formula

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 Apex Angle of Crossed Rectangle?

Apex Angle of Crossed Rectangle calculator uses 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)) to calculate the Apex Angle of Crossed Rectangle, The Apex Angle of Crossed Rectangle formula is defined as the unequal angle of any of the isosceles triangles in the Crossed Rectangle. Apex Angle of Crossed Rectangle is denoted by ∠_Apex symbol.

How to calculate Apex Angle of Crossed Rectangle using this online calculator? To use this online calculator for Apex Angle of Crossed Rectangle, enter Leg Length of Crossed Rectangle (l_Leg) & Base Length of Crossed Rectangle (l_Base) and hit the calculate button. Here is how the Apex Angle of Crossed Rectangle calculation can be explained with given input values -> 6088.261 = arccos(((2*5^2)-8^2)/(2*5^2)).

FAQ

What is Apex Angle of Crossed Rectangle?

The Apex Angle of Crossed Rectangle formula is defined as the unequal angle of any of the isosceles triangles in the Crossed Rectangle and is represented as ∠_Apex = arccos(((2*l_Leg^2)-l_Base^2)/(2*l_Leg^2)) or 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)). Leg Length of Crossed Rectangle is the length of equal sides of any of the isosceles triangles present in the Crossed Rectangle & Base Length of Crossed Rectangle is the unequal side of any of the isosceles triangles present in the Crossed Rectangle.

How to calculate Apex Angle of Crossed Rectangle?

The Apex Angle of Crossed Rectangle formula is defined as the unequal angle of any of the isosceles triangles in the Crossed Rectangle is calculated using 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)). To calculate Apex Angle of Crossed Rectangle, you need Leg Length of Crossed Rectangle (l_Leg) & Base Length of Crossed Rectangle (l_Base). With our tool, you need to enter the respective value for Leg Length of Crossed Rectangle & Base Length 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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