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Obtuse Angle between Diagonals of Rectangle given Length and Circumradius Formula

GoObtuse Angle between Diagonals of Rectangle given Diagonal and Length Formula

GoObtuse Angle between Diagonals of Rectangle given Diagonal and Breadth Formula

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

∠ d(Obtuse) = 2 \cdot a \sin (\frac{l}{2 \cdot r c})

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

Obtuse Angle between Diagonals of Rectangle given Length and Circumradius Example

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

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

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

106.2602 = 2 \cdot a \sin (\frac{8}{2 \cdot 5})

106.2602° = 2 \cdot a \sin (\frac{8m}{2 \cdot 5m})

106.2602 = 2 \cdot a \sin (\frac{8}{2 \cdot 5})

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Obtuse Angle between Diagonals of Rectangle given Length and Circumradius Solution

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

FIRST Step Consider the formula

∠ d(Obtuse) = 2 \cdot a \sin (\frac{l}{2 \cdot r c})

Next Step Substitute values of Variables

∴

∠ d(Obtuse) = 2 \cdot a \sin (\frac{8m}{2 \cdot 5m})

Next Step Prepare to Evaluate

∴

∠ d(Obtuse) = 2 \cdot a \sin (\frac{8}{2 \cdot 5})

Next Step Evaluate

∴

∠ d(Obtuse) = 1.85459043600322rad

Next Step Convert to Output's Unit

∴

∠ d(Obtuse) = 106.260204708332°

LAST Step Rounding Answer

∴

∠ d(Obtuse) = 106.2602°

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

Variables

Functions

Obtuse Angle between Diagonals of Rectangle

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

Symbol: ∠_d(Obtuse)

Measurement: AngleUnit: °

Note: Value should be between 90 to 180.

Formulas to find Obtuse 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other Formulas to find Obtuse Angle between Diagonals of Rectangle

Go Obtuse Angle between Diagonals of Rectangle given Diagonal and Length

∠ d(Obtuse) = 2 \cdot a \sin (\frac{l}{d})

Go Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth

∠ d(Obtuse) = 2 \cdot a \cos (\frac{b}{d})

Go Obtuse Angle between Diagonals of Rectangle given Breadth and Circumradius

∠ d(Obtuse) = 2 \cdot a \cos (\frac{b}{2 \cdot r c})

Go Obtuse Angle between Diagonals of Rectangle given Acute Angle

∠ d(Obtuse) = π - ∠ d(Acute)

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

Obtuse Angle between Diagonals of Rectangle given Length and Circumradius evaluator uses Obtuse Angle between Diagonals of Rectangle = 2*asin(Length of Rectangle/(2*Circumradius of Rectangle)) to evaluate the Obtuse Angle between Diagonals of Rectangle, The Obtuse angle between Diagonals of Rectangle given Length and Circumradius formula is defined as the Angle made by the Diagonals of the Rectangle which is greater than 90 degrees, all the vertices of Rectangle are lying on the circle of given Radius, and calculated using Length and Circumradius of Rectangle. Obtuse Angle between Diagonals of Rectangle is denoted by ∠_d(Obtuse) symbol.

How to evaluate Obtuse Angle between Diagonals of Rectangle given Length and Circumradius using this online evaluator? To use this online evaluator for Obtuse 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 Obtuse Angle between Diagonals of Rectangle given Length and Circumradius

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

The formula of Obtuse Angle between Diagonals of Rectangle given Length and Circumradius is expressed as Obtuse Angle between Diagonals of Rectangle = 2*asin(Length of Rectangle/(2*Circumradius of Rectangle)). Here is an example- 6088.261 = 2*asin(8/(2*5)).

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

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

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

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

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

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

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

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

Obtuse 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 Obtuse Angle between Diagonals of Rectangle given Length and Circumradius can be measured.

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