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Breadth of Rectangle given Circumradius and Obtuse Angle between Diagonals Formula

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GoBreadth of Rectangle given Diagonal and Obtuse Angle between Diagonals Formula

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Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides. Check FAQs

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

b - Breadth of Rectangle?r_c - Circumradius of Rectangle?∠_d(Obtuse) - Obtuse Angle between Diagonals of Rectangle?

Breadth of Rectangle given Circumradius and Obtuse Angle between Diagonals Example

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

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

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

5.7358 = 2 \cdot 5 \cdot \cos (\frac{110}{2})

5.7358m = 2 \cdot 5m \cdot \cos (\frac{110°}{2})

5.7358 = 2 \cdot 5 \cdot \cos (\frac{110}{2})

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Breadth of Rectangle given Circumradius and Obtuse Angle between Diagonals Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = 2 \cdot 5m \cdot \cos (\frac{110°}{2})

Next Step Convert Units

∴

b = 2 \cdot 5m \cdot \cos (\frac{1.9199rad}{2})

Next Step Prepare to Evaluate

∴

b = 2 \cdot 5 \cdot \cos (\frac{1.9199}{2})

Next Step Evaluate

∴

b = 5.73576436351195m

LAST Step Rounding Answer

∴

b = 5.7358m

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

Variables

Functions

Breadth of Rectangle

Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Breadth 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

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

cos

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

Syntax: cos(Angle)

Other Formulas to find Breadth of Rectangle

Go Breadth of Rectangle given Area

b = \frac{A}{l}

Go Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals

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

Go Breadth of Rectangle given Diagonal and Acute Angle between Diagonals

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

Go Breadth of Rectangle given Perimeter

b = \frac{P - (2 \cdot l)}{2}

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

Breadth of Rectangle given Circumradius and Obtuse Angle between Diagonals evaluator uses Breadth of Rectangle = 2*Circumradius of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2) to evaluate the Breadth of Rectangle, The Breadth of Rectangle given Circumradius and Obtuse Angle between Diagonals formula is defined as any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides, and calculated using Circumradius and Obtuse Angle between Diagonals of the Rectangle. Breadth of Rectangle is denoted by b symbol.

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

FAQs on Breadth of Rectangle given Circumradius and Obtuse Angle between Diagonals

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

The formula of Breadth of Rectangle given Circumradius and Obtuse Angle between Diagonals is expressed as Breadth of Rectangle = 2*Circumradius of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2). Here is an example- 5.735764 = 2*5*cos(1.9198621771934/2).

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

With Circumradius of Rectangle (r_c) & Obtuse Angle between Diagonals of Rectangle (∠_d(Obtuse)) we can find Breadth of Rectangle given Circumradius and Obtuse Angle between Diagonals using the formula - Breadth of Rectangle = 2*Circumradius of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Breadth of Rectangle?

Here are the different ways to Calculate Breadth of Rectangle-

Breadth of Rectangle=Area of Rectangle/Length of Rectangle
Breadth of Rectangle=Diagonal of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2)
Breadth of Rectangle=Diagonal of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)

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

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

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

Breadth of Rectangle given Circumradius and Obtuse Angle between Diagonals is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Breadth of Rectangle given Circumradius and Obtuse Angle between Diagonals can be measured.

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