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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=14⋅(P+8⋅(2⋅rc)2-P2)
l - Length of Rectangle?P - Perimeter of Rectangle?rc - Circumradius of Rectangle?

Length of Rectangle given Perimeter and Circumradius Example

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

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

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

8Edit=14⋅(28Edit+8⋅(2⋅5Edit)2-28Edit2)
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Length of Rectangle given Perimeter and Circumradius Solution

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

FIRST Step Consider the formula
l=14⋅(P+8⋅(2⋅rc)2-P2)
Next Step Substitute values of Variables
∴ l=14⋅(28m+8⋅(2⋅5m)2-28m2)
Next Step Prepare to Evaluate
∴ l=14⋅(28+8⋅(2⋅5)2-282)
LAST Step Evaluate
∴l=8m

Length of Rectangle given Perimeter 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 RectangleOpen Variable
Perimeter of Rectangle
Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.
Symbol: P
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Perimeter of RectangleOpen Variable
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: rc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Circumradius of RectangleOpen Variable
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=Ab
​Go Length of Rectangle given Perimeter and Breadth
l=P-(2⋅b)2
​Go Length of Rectangle given Diagonal and Breadth
l=d2-b2
​Go Length of Rectangle given Diagonal and Obtuse Angle between Diagonals
l=d⋅sin(∠d(Obtuse)2)

How to Evaluate Length of Rectangle given Perimeter and Circumradius?

Length of Rectangle given Perimeter and Circumradius evaluator uses Length of Rectangle = 1/4*(Perimeter of Rectangle+sqrt(8*(2*Circumradius of Rectangle)^2-Perimeter of Rectangle^2)) to evaluate the Length of Rectangle, The Length of Rectangle given Perimeter 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 Perimeter and Circumradius of the Rectangle. Length of Rectangle is denoted by l symbol.

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

FAQs on Length of Rectangle given Perimeter and Circumradius

What is the formula to find Length of Rectangle given Perimeter and Circumradius?
The formula of Length of Rectangle given Perimeter and Circumradius is expressed as Length of Rectangle = 1/4*(Perimeter of Rectangle+sqrt(8*(2*Circumradius of Rectangle)^2-Perimeter of Rectangle^2)). Here is an example- 8 = 1/4*(28+sqrt(8*(2*5)^2-28^2)).
How to calculate Length of Rectangle given Perimeter and Circumradius?
With Perimeter of Rectangle (P) & Circumradius of Rectangle (rc) we can find Length of Rectangle given Perimeter and Circumradius using the formula - Length of Rectangle = 1/4*(Perimeter of Rectangle+sqrt(8*(2*Circumradius of Rectangle)^2-Perimeter 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 RectangleOpenImg
  • Length of Rectangle=(Perimeter of Rectangle-(2*Breadth of Rectangle))/2OpenImg
  • Length of Rectangle=sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2)OpenImg
Can the Length of Rectangle given Perimeter and Circumradius be negative?
No, the Length of Rectangle given Perimeter and Circumradius, measured in Length cannot be negative.
Which unit is used to measure Length of Rectangle given Perimeter and Circumradius?
Length of Rectangle given Perimeter 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 Perimeter and Circumradius can be measured.
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