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Length of Rectangle given Area and Diameter of Circumcircle Formula

GoLength of Rectangle given Area and Breadth Formula

GoLength of Rectangle given Perimeter and Breadth Formula

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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 = \sqrt{\frac{{D c}^{2} + \sqrt{{D c}^{4} - (4 \cdot A^{2})}}{2}}

l - Length of Rectangle?D_c - Diameter of Circumcircle of Rectangle?A - Area of Rectangle?

Length of Rectangle given Area and Diameter of Circumcircle Example

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

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

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

8 = \sqrt{\frac{10^{2} + \sqrt{10^{4} - (4 \cdot 48^{2})}}{2}}

8m = \sqrt{\frac{{10m}^{2} + \sqrt{{10m}^{4} - (4 \cdot {48m²}^{2})}}{2}}

8 = \sqrt{\frac{10^{2} + \sqrt{10^{4} - (4 \cdot 48^{2})}}{2}}

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2D Geometry » fx Length of Rectangle given Area and Diameter of Circumcircle

Length of Rectangle given Area and Diameter of Circumcircle Solution

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

FIRST Step Consider the formula

l = \sqrt{\frac{{D c}^{2} + \sqrt{{D c}^{4} - (4 \cdot A^{2})}}{2}}

Next Step Substitute values of Variables

∴

l = \sqrt{\frac{{10m}^{2} + \sqrt{{10m}^{4} - (4 \cdot {48m²}^{2})}}{2}}

Next Step Prepare to Evaluate

∴

l = \sqrt{\frac{10^{2} + \sqrt{10^{4} - (4 \cdot 48^{2})}}{2}}

LAST Step Evaluate

∴

l = 8m

Length of Rectangle given Area and Diameter of Circumcircle 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

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

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 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 Area and Diameter of Circumcircle?

Length of Rectangle given Area and Diameter of Circumcircle evaluator uses Length of Rectangle = sqrt((Diameter of Circumcircle of Rectangle^2+sqrt(Diameter of Circumcircle of Rectangle^4-(4*Area of Rectangle^2)))/2) to evaluate the Length of Rectangle, The Length of Rectangle given Area and Diameter of Circumcircle 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 Area and Diameter of Circumcircle of the Rectangle. Length of Rectangle is denoted by l symbol.

How to evaluate Length of Rectangle given Area and Diameter of Circumcircle using this online evaluator? To use this online evaluator for Length of Rectangle given Area and Diameter of Circumcircle, enter Diameter of Circumcircle of Rectangle (D_c) & Area of Rectangle (A) and hit the calculate button.

FAQs on Length of Rectangle given Area and Diameter of Circumcircle

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

The formula of Length of Rectangle given Area and Diameter of Circumcircle is expressed as Length of Rectangle = sqrt((Diameter of Circumcircle of Rectangle^2+sqrt(Diameter of Circumcircle of Rectangle^4-(4*Area of Rectangle^2)))/2). Here is an example- 8 = sqrt((10^2+sqrt(10^4-(4*48^2)))/2).

How to calculate Length of Rectangle given Area and Diameter of Circumcircle?

With Diameter of Circumcircle of Rectangle (D_c) & Area of Rectangle (A) we can find Length of Rectangle given Area and Diameter of Circumcircle using the formula - Length of Rectangle = sqrt((Diameter of Circumcircle of Rectangle^2+sqrt(Diameter of Circumcircle of Rectangle^4-(4*Area of Rectangle^2)))/2). This formula also uses Square Root Function 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 Area and Diameter of Circumcircle be negative?

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

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

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

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Length of Rectangle given Area and Diameter of Circumcircle Formula

​GoLength of Rectangle given Area and Breadth Formula

​GoLength of Rectangle given Perimeter and Breadth Formula

Length of Rectangle given Area and Diameter of Circumcircle Example

Length of Rectangle given Area and Diameter of Circumcircle Solution

Length of Rectangle given Area and Diameter of Circumcircle Formula Elements

Other Formulas to find Length of Rectangle

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

FAQs on Length of Rectangle given Area and Diameter of Circumcircle

Variable Name

GoLength of Rectangle given Area and Breadth Formula

GoLength of Rectangle given Perimeter and Breadth Formula