FormulaDen.com

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

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

GoLength of Rectangle given Area and Breadth Formula

GoLength of Rectangle given Perimeter and Breadth Formula

Fx Copy

LaTeX Copy

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

l = 2 \cdot r c \cdot \sin (∠ db)

l - Length of Rectangle?r_c - Circumradius of Rectangle?∠_db - Angle between Diagonal and Breadth of Rectangle?

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

With values

With units

Only example

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

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

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

8.1915 = 2 \cdot 5 \cdot \sin (55)

8.1915m = 2 \cdot 5m \cdot \sin (55°)

8.1915 = 2 \cdot 5 \cdot \sin (55)

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 Length of Rectangle given Circumradius and Angle between Diagonal and Breadth

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

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

FIRST Step Consider the formula

l = 2 \cdot r c \cdot \sin (∠ db)

Next Step Substitute values of Variables

∴

l = 2 \cdot 5m \cdot \sin (55°)

Next Step Convert Units

∴

l = 2 \cdot 5m \cdot \sin (0.9599rad)

Next Step Prepare to Evaluate

∴

l = 2 \cdot 5 \cdot \sin (0.9599)

Next Step Evaluate

∴

l = 8.19152044288888m

LAST Step Rounding Answer

∴

l = 8.1915m

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

Variables

Functions

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

Angle between Diagonal and Breadth of Rectangle

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

Symbol: ∠_db

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle between Diagonal and Breadth 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 Length of Rectangle

Go Length of Rectangle given Area and Breadth

l = \frac{A}{b}

Go Length of Rectangle given Perimeter and Breadth

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

Go Length of Rectangle given Diagonal and Breadth

l = \sqrt{d^{2} - b^{2}}

Go Length of Rectangle given Diagonal and Obtuse Angle between Diagonals

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

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

Length of Rectangle given Circumradius and Angle between Diagonal and Breadth evaluator uses Length of Rectangle = 2*Circumradius of Rectangle*sin(Angle between Diagonal and Breadth of Rectangle) to evaluate the Length of Rectangle, The Length of Rectangle given Circumradius and Angle between Diagonal and Breadth formula is defined as any one of the pair of parallel sides which are longer than the remaining pair of parallel sides, and calculated using Circumradius and Angle between Diagonal and Breadth of the Rectangle. Length of Rectangle is denoted by l symbol.

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

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

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

The formula of Length of Rectangle given Circumradius and Angle between Diagonal and Breadth is expressed as Length of Rectangle = 2*Circumradius of Rectangle*sin(Angle between Diagonal and Breadth of Rectangle). Here is an example- 8.19152 = 2*5*sin(0.959931088596701).

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

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

What are the other ways to Calculate Length of Rectangle?

Here are the different ways to Calculate Length of Rectangle-

Length of Rectangle=Area of Rectangle/Breadth of Rectangle
Length of Rectangle=(Perimeter of Rectangle-(2*Breadth of Rectangle))/2
Length of Rectangle=sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2)

Can the Length of Rectangle given Circumradius and Angle between Diagonal and Breadth be negative?

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit