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Length of Rectangle given Area and Circumradius 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{(2 \cdot {r c}^{2}) + \sqrt{(4 \cdot {r c}^{4}) - A^{2}}}

l - Length of Rectangle?r_c - Circumradius of Rectangle?A - Area of Rectangle?

Length of Rectangle given Area and Circumradius Example

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

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

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

8 = \sqrt{(2 \cdot 5^{2}) + \sqrt{(4 \cdot 5^{4}) - 48^{2}}}

8m = \sqrt{(2 \cdot {5m}^{2}) + \sqrt{(4 \cdot {5m}^{4}) - {48m²}^{2}}}

8 = \sqrt{(2 \cdot 5^{2}) + \sqrt{(4 \cdot 5^{4}) - 48^{2}}}

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Length of Rectangle given Area and Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l = \sqrt{(2 \cdot {5m}^{2}) + \sqrt{(4 \cdot {5m}^{4}) - {48m²}^{2}}}

Next Step Prepare to Evaluate

∴

l = \sqrt{(2 \cdot 5^{2}) + \sqrt{(4 \cdot 5^{4}) - 48^{2}}}

LAST Step Evaluate

∴

l = 8m

Length of Rectangle given Area and Circumradius 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

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 Circumradius?

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

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

FAQs on Length of Rectangle given Area and Circumradius

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

The formula of Length of Rectangle given Area and Circumradius is expressed as Length of Rectangle = sqrt((2*Circumradius of Rectangle^2)+sqrt((4*Circumradius of Rectangle^4)-Area of Rectangle^2)). Here is an example- 8 = sqrt((2*5^2)+sqrt((4*5^4)-48^2)).

How to calculate Length of Rectangle given Area and Circumradius?

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

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

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

Length of Rectangle given Area and Circumradius 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 Circumradius can be measured.

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Length of Rectangle given Area and Circumradius Formula

​GoLength of Rectangle given Area and Breadth Formula

​GoLength of Rectangle given Perimeter and Breadth Formula

Length of Rectangle given Area and Circumradius Example

Length of Rectangle given Area and Circumradius Solution

Length of Rectangle given Area and Circumradius Formula Elements

Other Formulas to find Length of Rectangle

How to Evaluate Length of Rectangle given Area and Circumradius?

FAQs on Length of Rectangle given Area and Circumradius

Variable Name

GoLength of Rectangle given Area and Breadth Formula

GoLength of Rectangle given Perimeter and Breadth Formula