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Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length Formula

GoDiameter of Circumcircle of Rectangle Formula

GoDiameter of Circumcircle of Rectangle given Circumradius Formula

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Diameter of Circumcircle of Rectangle is the diameter of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle. Check FAQs

D c = \frac{\sqrt{A \cdot \cot (∠ dl)}}{\cos (∠ dl)}

D_c - Diameter of Circumcircle of Rectangle?A - Area of Rectangle?∠_dl - Angle between Diagonal and Length of Rectangle?

Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length Example

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

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

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

10.1075 = \frac{\sqrt{48 \cdot \cot (35)}}{\cos (35)}

10.1075m = \frac{\sqrt{48m² \cdot \cot (35°)}}{\cos (35°)}

10.1075 = \frac{\sqrt{48 \cdot \cot (35)}}{\cos (35)}

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Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length Solution

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

FIRST Step Consider the formula

D c = \frac{\sqrt{A \cdot \cot (∠ dl)}}{\cos (∠ dl)}

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

D c = \frac{\sqrt{48 \cdot \cot (0.6109)}}{\cos (0.6109)}

Next Step Evaluate

∴

D c = 10.1074757559786m

LAST Step Rounding Answer

∴

D c = 10.1075m

Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length Formula Elements

Variables

Functions

Diameter of Circumcircle of Rectangle

Diameter of Circumcircle of Rectangle is the diameter of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.

Symbol: D_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Circumcircle 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 Diameter of Circumcircle of Rectangle

Go Diameter of Circumcircle of Rectangle

D c = \sqrt{l^{2} + b^{2}}

Go Diameter of Circumcircle of Rectangle given Circumradius

D c = 2 \cdot r c

Go Diameter of Circumcircle of Rectangle given Area and Length

D c = \sqrt{{(\frac{A}{l})}^{2} + l^{2}}

Go Diameter of Circumcircle of Rectangle given Area and Breadth

D c = \sqrt{{(\frac{A}{b})}^{2} + b^{2}}

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

Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length evaluator uses Diameter of Circumcircle of Rectangle = (sqrt(Area of Rectangle*cot(Angle between Diagonal and Length of Rectangle)))/(cos(Angle between Diagonal and Length of Rectangle)) to evaluate the Diameter of Circumcircle of Rectangle, The Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length formula is defined as the diameter 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. Diameter of Circumcircle of Rectangle is denoted by D_c symbol.

How to evaluate Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length using this online evaluator? To use this online evaluator for Diameter of Circumcircle 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 Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length

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

The formula of Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length is expressed as Diameter of Circumcircle of Rectangle = (sqrt(Area of Rectangle*cot(Angle between Diagonal and Length of Rectangle)))/(cos(Angle between Diagonal and Length of Rectangle)). Here is an example- 10.10748 = (sqrt(48*cot(0.610865238197901)))/(cos(0.610865238197901)).

How to calculate Diameter of Circumcircle 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 Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length using the formula - Diameter of Circumcircle of Rectangle = (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 Diameter of Circumcircle of Rectangle?

Here are the different ways to Calculate Diameter of Circumcircle of Rectangle-

Diameter of Circumcircle of Rectangle=sqrt(Length of Rectangle^2+Breadth of Rectangle^2)
Diameter of Circumcircle of Rectangle=2*Circumradius of Rectangle
Diameter of Circumcircle of Rectangle=sqrt((Area of Rectangle/Length of Rectangle)^2+Length of Rectangle^2)

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

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

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

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

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