FormulaDen.com

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

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

GoCircumradius of Rectangle given Perimeter and Length Formula

GoCircumradius of Rectangle Formula

Fx Copy

LaTeX Copy

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

r c = \frac{1}{2} \cdot \frac{\sqrt{A \cdot \cot (∠ dl)}}{\cos (∠ dl)}

r_c - Circumradius of Rectangle?A - Area of Rectangle?∠_dl - Angle between Diagonal and Length of Rectangle?

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

With values

With units

Only example

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

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

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

5.0537 = \frac{1}{2} \cdot \frac{\sqrt{48 \cdot \cot (35)}}{\cos (35)}

5.0537m = \frac{1}{2} \cdot \frac{\sqrt{48m² \cdot \cot (35°)}}{\cos (35°)}

5.0537 = \frac{1}{2} \cdot \frac{\sqrt{48 \cdot \cot (35)}}{\cos (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 Circumradius of Rectangle given Area and Angle between Diagonal and Length

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

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

FIRST Step Consider the formula

r c = \frac{1}{2} \cdot \frac{\sqrt{A \cdot \cot (∠ dl)}}{\cos (∠ dl)}

Next Step Substitute values of Variables

∴

r c = \frac{1}{2} \cdot \frac{\sqrt{48m² \cdot \cot (35°)}}{\cos (35°)}

Next Step Convert Units

∴

r c = \frac{1}{2} \cdot \frac{\sqrt{48m² \cdot \cot (0.6109rad)}}{\cos (0.6109rad)}

Next Step Prepare to Evaluate

∴

r c = \frac{1}{2} \cdot \frac{\sqrt{48 \cdot \cot (0.6109)}}{\cos (0.6109)}

Next Step Evaluate

∴

r c = 5.05373787798932m

LAST Step Rounding Answer

∴

r c = 5.0537m

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

Variables

Functions

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

Area of Rectangle

Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

cos

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

Syntax: cos(Angle)

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Circumradius of Rectangle

Go Circumradius of Rectangle given Perimeter and Length

r c = \frac{\sqrt{P^{2} - (4 \cdot P \cdot l) + (8 \cdot l^{2})}}{4}

Go Circumradius of Rectangle

r c = \frac{\sqrt{l^{2} + b^{2}}}{2}

Go Circumradius of Rectangle given Perimeter and Breadth

r c = \frac{\sqrt{P^{2} - (4 \cdot P \cdot b) + (8 \cdot b^{2})}}{4}

Go Circumradius of Rectangle given Diagonal

r c = \frac{d}{2}

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

Circumradius of Rectangle given Area and Angle between Diagonal and Length evaluator uses Circumradius of Rectangle = 1/2*(sqrt(Area of Rectangle*cot(Angle between Diagonal and Length of Rectangle)))/(cos(Angle between Diagonal and Length of Rectangle)) to evaluate the Circumradius of Rectangle, The Circumradius of Rectangle given Area and Angle between Diagonal and Length formula is defined as the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle, and calculated using area and angle between diagonal and length of the Rectangle. Circumradius of Rectangle is denoted by r_c symbol.

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

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

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

The formula of Circumradius of Rectangle given Area and Angle between Diagonal and Length is expressed as Circumradius of Rectangle = 1/2*(sqrt(Area of Rectangle*cot(Angle between Diagonal and Length of Rectangle)))/(cos(Angle between Diagonal and Length of Rectangle)). Here is an example- 5.053738 = 1/2*(sqrt(48*cot(0.610865238197901)))/(cos(0.610865238197901)).

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

With Area of Rectangle (A) & Angle between Diagonal and Length of Rectangle (∠_dl) we can find Circumradius of Rectangle given Area and Angle between Diagonal and Length using the formula - Circumradius of Rectangle = 1/2*(sqrt(Area of Rectangle*cot(Angle between Diagonal and Length of Rectangle)))/(cos(Angle between Diagonal and Length of Rectangle)). This formula also uses Cosine (cos)Cotangent (cot), Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Rectangle?

Here are the different ways to Calculate Circumradius of Rectangle-

Circumradius of Rectangle=sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Length of Rectangle)+(8*Length of Rectangle^2))/4
Circumradius of Rectangle=sqrt(Length of Rectangle^2+Breadth of Rectangle^2)/2
Circumradius of Rectangle=sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Breadth of Rectangle)+(8*Breadth of Rectangle^2))/4

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit