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Apex Angle of Crossed Rectangle Formula

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Apex Angle of Crossed Rectangle is the unequal angle of any of the isosceles triangles in the Crossed Rectangle. Check FAQs

∠ Apex = \arccos (\frac{(2 \cdot {l Leg}^{2}) - {l Base}^{2}}{2 \cdot {l Leg}^{2}})

∠_Apex - Apex Angle of Crossed Rectangle?l_Leg - Leg Length of Crossed Rectangle?l_Base - Base Length of Crossed Rectangle?

Apex Angle of Crossed Rectangle Example

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Here is how the Apex Angle of Crossed Rectangle equation looks like with Values.

Here is how the Apex Angle of Crossed Rectangle equation looks like with Units.

Here is how the Apex Angle of Crossed Rectangle equation looks like.

106.2602 = \arccos (\frac{(2 \cdot 5^{2}) - 8^{2}}{2 \cdot 5^{2}})

106.2602° = \arccos (\frac{(2 \cdot {5m}^{2}) - {8m}^{2}}{2 \cdot {5m}^{2}})

106.2602 = \arccos (\frac{(2 \cdot 5^{2}) - 8^{2}}{2 \cdot 5^{2}})

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Apex Angle of Crossed Rectangle Solution

Follow our step by step solution on how to calculate Apex Angle of Crossed Rectangle?

FIRST Step Consider the formula

∠ Apex = \arccos (\frac{(2 \cdot {l Leg}^{2}) - {l Base}^{2}}{2 \cdot {l Leg}^{2}})

Next Step Substitute values of Variables

∴

∠ Apex = \arccos (\frac{(2 \cdot {5m}^{2}) - {8m}^{2}}{2 \cdot {5m}^{2}})

Next Step Prepare to Evaluate

∴

∠ Apex = \arccos (\frac{(2 \cdot 5^{2}) - 8^{2}}{2 \cdot 5^{2}})

Next Step Evaluate

∴

∠ Apex = 1.85459043600322rad

Next Step Convert to Output's Unit

∴

∠ Apex = 106.260204708332°

LAST Step Rounding Answer

∴

∠ Apex = 106.2602°

Apex Angle of Crossed Rectangle Formula Elements

Variables

Functions

Apex Angle of Crossed Rectangle

Apex Angle of Crossed Rectangle is the unequal angle of any of the isosceles triangles in the Crossed Rectangle.

Symbol: ∠_Apex

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Apex Angle of Crossed Rectangle

Leg Length 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.

Symbol: l_Leg

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Leg Length of Crossed Rectangle

Base Length of Crossed Rectangle

Base Length of Crossed Rectangle is the unequal side of any of the isosceles triangles present in the Crossed Rectangle.

Symbol: l_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Length of Crossed Rectangle

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: 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.

Syntax: arccos(Number)

Other formulas in Angles of Crossed Rectangle category

Go Intersection Angle of Crossed Rectangle

∠ Intersection = π - ∠ Apex

Go Base Angle of Crossed Rectangle

∠ Base = \frac{∠ Intersection}{2}

How to Evaluate Apex Angle of Crossed Rectangle?

Apex Angle of Crossed Rectangle evaluator 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 evaluate 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 evaluate Apex Angle of Crossed Rectangle using this online evaluator? To use this online evaluator 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.

FAQs on Apex Angle of Crossed Rectangle

What is the formula to find Apex Angle of Crossed Rectangle?

The formula of Apex Angle of Crossed Rectangle is expressed as 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)). Here is an example- 6088.261 = arccos(((2*5^2)-8^2)/(2*5^2)).

How to calculate Apex Angle of Crossed Rectangle?

With Leg Length of Crossed Rectangle (l_Leg) & Base Length of Crossed Rectangle (l_Base) we can find Apex Angle of Crossed Rectangle using the formula - 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)). This formula also uses Cosine, Inverse Cosine function(s).

Can the Apex Angle of Crossed Rectangle be negative?

No, the Apex Angle of Crossed Rectangle, measured in Angle cannot be negative.

Which unit is used to measure Apex Angle of Crossed Rectangle?

Apex Angle of Crossed Rectangle is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Apex Angle of Crossed Rectangle can be measured.

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