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Acute Angle between Diagonals of Rectangle given Length and Circumradius Formula

GoAcute Angle between Diagonals of Rectangle given Diagonal and Length Formula

GoAcute Angle between Diagonals of Rectangle given Diagonal and Breadth Formula

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Acute Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is less than 90 degrees. Check FAQs

∠ d(Acute) = 2 \cdot a \cos (\frac{l}{2 \cdot r c})

∠_d(Acute) - Acute Angle between Diagonals of Rectangle?l - Length of Rectangle?r_c - Circumradius of Rectangle?

Acute Angle between Diagonals of Rectangle given Length and Circumradius Example

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Here is how the Acute Angle between Diagonals of Rectangle given Length and Circumradius equation looks like with Values.

Here is how the Acute Angle between Diagonals of Rectangle given Length and Circumradius equation looks like with Units.

Here is how the Acute Angle between Diagonals of Rectangle given Length and Circumradius equation looks like.

73.7398 = 2 \cdot a \cos (\frac{8}{2 \cdot 5})

73.7398° = 2 \cdot a \cos (\frac{8m}{2 \cdot 5m})

73.7398 = 2 \cdot a \cos (\frac{8}{2 \cdot 5})

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Acute Angle between Diagonals of Rectangle given Length and Circumradius Solution

Follow our step by step solution on how to calculate Acute Angle between Diagonals of Rectangle given Length and Circumradius?

FIRST Step Consider the formula

∠ d(Acute) = 2 \cdot a \cos (\frac{l}{2 \cdot r c})

Next Step Substitute values of Variables

∴

∠ d(Acute) = 2 \cdot a \cos (\frac{8m}{2 \cdot 5m})

Next Step Prepare to Evaluate

∴

∠ d(Acute) = 2 \cdot a \cos (\frac{8}{2 \cdot 5})

Next Step Evaluate

∴

∠ d(Acute) = 1.28700221758657rad

Next Step Convert to Output's Unit

∴

∠ d(Acute) = 73.7397952917019°

LAST Step Rounding Answer

∴

∠ d(Acute) = 73.7398°

Acute Angle between Diagonals of Rectangle given Length and Circumradius Formula Elements

Variables

Functions

Acute Angle between Diagonals of Rectangle

Acute Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is less than 90 degrees.

Symbol: ∠_d(Acute)

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle between Diagonals of Rectangle

Length of Rectangle

Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Rectangle

Circumradius of Rectangle

Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of 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)

acos

The inverse cosine 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: acos(Number)

Other Formulas to find Acute Angle between Diagonals of Rectangle

Go Acute Angle between Diagonals of Rectangle given Diagonal and Length

∠ d(Acute) = 2 \cdot a \cos (\frac{l}{d})

Go Acute Angle between Diagonals of Rectangle given Diagonal and Breadth

∠ d(Acute) = 2 \cdot a \sin (\frac{b}{d})

Go Acute Angle between Diagonals of Rectangle given Breadth and Circumradius

∠ d(Acute) = 2 \cdot a \sin (\frac{b}{2 \cdot r c})

Go Acute Angle between Diagonals of Rectangle given Obtuse Angle

∠ d(Acute) = π - ∠ d(Obtuse)

How to Evaluate Acute Angle between Diagonals of Rectangle given Length and Circumradius?

Acute Angle between Diagonals of Rectangle given Length and Circumradius evaluator uses Acute Angle between Diagonals of Rectangle = 2*acos(Length of Rectangle/(2*Circumradius of Rectangle)) to evaluate the Acute Angle between Diagonals of Rectangle, The Acute Angle between Diagonals of Rectangle given Length and Circumradius formula is defined as the angle made by the diagonals of the Rectangle which is less than 90 degrees and calculated using length and circumradius of Rectangle. Acute Angle between Diagonals of Rectangle is denoted by ∠_d(Acute) symbol.

How to evaluate Acute Angle between Diagonals of Rectangle given Length and Circumradius using this online evaluator? To use this online evaluator for Acute Angle between Diagonals of Rectangle given Length and Circumradius, enter Length of Rectangle (l) & Circumradius of Rectangle (r_c) and hit the calculate button.

FAQs on Acute Angle between Diagonals of Rectangle given Length and Circumradius

What is the formula to find Acute Angle between Diagonals of Rectangle given Length and Circumradius?

The formula of Acute Angle between Diagonals of Rectangle given Length and Circumradius is expressed as Acute Angle between Diagonals of Rectangle = 2*acos(Length of Rectangle/(2*Circumradius of Rectangle)). Here is an example- 4224.979 = 2*acos(8/(2*5)).

How to calculate Acute Angle between Diagonals of Rectangle given Length and Circumradius?

With Length of Rectangle (l) & Circumradius of Rectangle (r_c) we can find Acute Angle between Diagonals of Rectangle given Length and Circumradius using the formula - Acute Angle between Diagonals of Rectangle = 2*acos(Length of Rectangle/(2*Circumradius of Rectangle)). This formula also uses Cosine, Inverse Cosine function(s).

What are the other ways to Calculate Acute Angle between Diagonals of Rectangle?

Here are the different ways to Calculate Acute Angle between Diagonals of Rectangle-

Acute Angle between Diagonals of Rectangle=2*acos(Length of Rectangle/Diagonal of Rectangle)
Acute Angle between Diagonals of Rectangle=2*asin(Breadth of Rectangle/Diagonal of Rectangle)
Acute Angle between Diagonals of Rectangle=2*asin(Breadth of Rectangle/(2*Circumradius of Rectangle))

Can the Acute Angle between Diagonals of Rectangle given Length and Circumradius be negative?

No, the Acute Angle between Diagonals of Rectangle given Length and Circumradius, measured in Angle cannot be negative.

Which unit is used to measure Acute Angle between Diagonals of Rectangle given Length and Circumradius?

Acute Angle between Diagonals of Rectangle given Length and Circumradius is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Acute Angle between Diagonals of Rectangle given Length and Circumradius can be measured.

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