FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Breadth of Rectangle given Circumradius and Angle between Diagonal and Length Formula

GoBreadth of Rectangle given Area Formula

GoBreadth of Rectangle given Diagonal and Obtuse Angle between Diagonals Formula

Fx Copy

LaTeX Copy

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 \sin (∠ dl)

b - Breadth of Rectangle?r_c - Circumradius of Rectangle?∠_dl - Angle between Diagonal and Length of Rectangle?

Breadth of Rectangle given Circumradius and Angle between Diagonal and Length Example

With values

With units

Only example

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

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

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

5.7358 = 2 \cdot 5 \cdot \sin (35)

5.7358m = 2 \cdot 5m \cdot \sin (35°)

5.7358 = 2 \cdot 5 \cdot \sin (35)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Breadth of Rectangle given Circumradius and Angle between Diagonal and Length

Breadth of Rectangle given Circumradius and Angle between Diagonal and Length Solution

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

FIRST Step Consider the formula

b = 2 \cdot r c \cdot \sin (∠ dl)

Next Step Substitute values of Variables

∴

b = 2 \cdot 5m \cdot \sin (35°)

Next Step Convert Units

∴

b = 2 \cdot 5m \cdot \sin (0.6109rad)

Next Step Prepare to Evaluate

∴

b = 2 \cdot 5 \cdot \sin (0.6109)

Next Step Evaluate

∴

b = 5.73576436350952m

LAST Step Rounding Answer

∴

b = 5.7358m

Breadth of Rectangle given Circumradius and Angle between Diagonal and Length 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

Angle between Diagonal and Length of Rectangle

Angle between Diagonal and Length of Rectangle is the measure of wideness of the angle made by any diagonal with the length of the Rectangle.

Symbol: ∠_dl

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle between Diagonal and Length 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)

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 Angle between Diagonal and Length?

Breadth of Rectangle given Circumradius and Angle between Diagonal and Length evaluator uses Breadth of Rectangle = 2*Circumradius of Rectangle*sin(Angle between Diagonal and Length of Rectangle) to evaluate the Breadth of Rectangle, The Breadth of Rectangle given Circumradius and Angle between Diagonal and Length 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 Angle between Diagonal and Length of the Rectangle. Breadth of Rectangle is denoted by b symbol.

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

FAQs on Breadth of Rectangle given Circumradius and Angle between Diagonal and Length

What is the formula to find Breadth of Rectangle given Circumradius and Angle between Diagonal and Length?

The formula of Breadth of Rectangle given Circumradius and Angle between Diagonal and Length is expressed as Breadth of Rectangle = 2*Circumradius of Rectangle*sin(Angle between Diagonal and Length of Rectangle). Here is an example- 5.735764 = 2*5*sin(0.610865238197901).

How to calculate Breadth of Rectangle given Circumradius and Angle between Diagonal and Length?

With Circumradius of Rectangle (r_c) & Angle between Diagonal and Length of Rectangle (∠_dl) we can find Breadth of Rectangle given Circumradius and Angle between Diagonal and Length using the formula - Breadth of Rectangle = 2*Circumradius of Rectangle*sin(Angle between Diagonal and Length of Rectangle). This formula also uses Sine (sin) 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 Angle between Diagonal and Length be negative?

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

Which unit is used to measure Breadth of Rectangle given Circumradius and Angle between Diagonal and Length?

Breadth of Rectangle given Circumradius and Angle between Diagonal and Length 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 Angle between Diagonal and Length can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit