Breadth of Rectangle given Perimeter and Circumradius Calculator

✖Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.ⓘ Perimeter of Rectangle [P]			+10% -10%
✖Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.ⓘ Circumradius of Rectangle [r_c]			+10% -10%

✖Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.ⓘ Breadth of Rectangle given Perimeter and Circumradius [b]

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Formula

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Breadth of Rectangle given Perimeter and Circumradius

Formula

`"b" = 1/4*("P"-sqrt(8*(2*"r"_{"c"})^2-"P"^2))`

Example

`"6m"=1/4*("28m"-sqrt(8*(2*"5m")^2-("28m")^2))`

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Breadth of Rectangle given Perimeter and Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Breadth of Rectangle = 1/4*(Perimeter of Rectangle-sqrt(8*(2*Circumradius of Rectangle)^2-Perimeter of Rectangle^2))
b = 1/4*(P-sqrt(8*(2*r_c)^2-P^2))
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Breadth of Rectangle - (Measured in Meter) - Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.
Perimeter of Rectangle - (Measured in Meter) - Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.
Circumradius of Rectangle - (Measured in Meter) - Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Rectangle: 28 Meter --> 28 Meter No Conversion Required
Circumradius of Rectangle: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = 1/4*(P-sqrt(8*(2*r_c)^2-P^2)) --> 1/4*(28-sqrt(8*(2*5)^2-28^2))

Evaluating ... ...

b = 6

STEP 3: Convert Result to Output's Unit

6 Meter --> No Conversion Required

FINAL ANSWER

6 Meter <-- Breadth of Rectangle

(Calculation completed in 00.004 seconds)

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< 25 Breadth of Rectangle Calculators

Breadth of Rectangle given Perimeter and Angle between Diagonal and Length

Go Breadth of Rectangle = Perimeter of Rectangle/2*(tan(Angle between Diagonal and Length of Rectangle)/(1+tan(Angle between Diagonal and Length of Rectangle)))

Breadth of Rectangle given Perimeter and Acute Angle between Diagonals

Go Breadth of Rectangle = (Perimeter of Rectangle/2)*(tan(Acute Angle between Diagonals of Rectangle/2)/(1+tan(Acute Angle between Diagonals of Rectangle/2)))

Breadth of Rectangle given Area and Diameter of Circumcircle

Go Breadth of Rectangle = sqrt((Diameter of Circumcircle of Rectangle^2-sqrt(Diameter of Circumcircle of Rectangle^4-(4*Area of Rectangle^2)))/2)

Breadth of Rectangle given Area and Circumradius

Go Breadth of Rectangle = sqrt((2*Circumradius of Rectangle^2)-sqrt((4*Circumradius of Rectangle^4)-Area of Rectangle^2))

Breadth of Rectangle given Perimeter and Diameter of Circumcircle

Go Breadth of Rectangle = 1/4*(Perimeter of Rectangle-sqrt((8*Diameter of Circumcircle of Rectangle^2)-Perimeter of Rectangle^2))

Breadth of Rectangle given Perimeter and Circumradius

Go Breadth of Rectangle = 1/4*(Perimeter of Rectangle-sqrt(8*(2*Circumradius of Rectangle)^2-Perimeter of Rectangle^2))

Breadth of Rectangle given Perimeter and Diagonal

Go Breadth of Rectangle = 1/4*(Perimeter of Rectangle-sqrt((8*Diagonal of Rectangle^2)-Perimeter of Rectangle^2))

Breadth of Rectangle given Area and Perimeter

Go Breadth of Rectangle = (Perimeter of Rectangle/2-sqrt((Perimeter of Rectangle^2)/4-(4*Area of Rectangle)))/2

Breadth of Rectangle given Area and Angle between Diagonal and Breadth

Go Breadth of Rectangle = sqrt(Area of Rectangle/tan(Angle between Diagonal and Breadth of Rectangle))

Breadth of Rectangle given Area and Angle between Diagonal and Length

Go Breadth of Rectangle = sqrt(Area of Rectangle*tan(Angle between Diagonal and Length of Rectangle))

Breadth of Rectangle given Area and Obtuse Angle between Diagonals

Go Breadth of Rectangle = sqrt(Area of Rectangle/tan(Obtuse Angle between Diagonals of Rectangle/2))

Breadth of Rectangle given Area and Acute Angle between Diagonals

Go Breadth of Rectangle = sqrt(Area of Rectangle*tan(Acute Angle between Diagonals of Rectangle/2))

Breadth of Rectangle given Area and Diagonal

Go Breadth of Rectangle = ((Diagonal of Rectangle^2-(Diagonal of Rectangle^4-(4*Area of Rectangle^2))^(1/2))/2)^(1/2)

Breadth of Rectangle given Perimeter and Angle between Diagonal and Breadth

Go Breadth of Rectangle = Perimeter of Rectangle/(2*(1+tan(Angle between Diagonal and Breadth of Rectangle)))

Breadth of Rectangle given Perimeter and Obtuse Angle between Diagonals

Go Breadth of Rectangle = Perimeter of Rectangle/(2*(1+tan(Obtuse Angle between Diagonals of Rectangle/2)))

Breadth of Rectangle given Circumradius and Angle between Diagonal and Breadth

Go Breadth of Rectangle = 2*Circumradius of Rectangle*cos(Angle between Diagonal and Breadth of Rectangle)

Breadth of Rectangle given Circumradius and Angle between Diagonal and Length

Go Breadth of Rectangle = 2*Circumradius of Rectangle*sin(Angle between Diagonal and Length of Rectangle)

Breadth of Rectangle given Diagonal and Angle between Diagonal and Breadth

Go Breadth of Rectangle = Diagonal of Rectangle*cos(Angle between Diagonal and Breadth of Rectangle)

Breadth of Rectangle given Diagonal and Angle between Diagonal and Length

Go Breadth of Rectangle = Diagonal of Rectangle*sin(Angle between Diagonal and Length of Rectangle)

Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals

Go Breadth of Rectangle = Diagonal of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2)

Breadth of Rectangle given Diagonal and Acute Angle between Diagonals

Go Breadth of Rectangle = Diagonal of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)

Breadth of Rectangle given Circumradius

Go Breadth of Rectangle = sqrt(4*Circumradius of Rectangle^2-Length of Rectangle^2)

Breadth of Rectangle given Diagonal

Go Breadth of Rectangle = sqrt(Diagonal of Rectangle^2-Length of Rectangle^2)

Breadth of Rectangle given Perimeter

Go Breadth of Rectangle = (Perimeter of Rectangle-(2*Length of Rectangle))/2

Breadth of Rectangle given Area

Go Breadth of Rectangle = Area of Rectangle/Length of Rectangle

Breadth of Rectangle given Perimeter and Circumradius Formula

Breadth of Rectangle = 1/4*(Perimeter of Rectangle-sqrt(8*(2*Circumradius of Rectangle)^2-Perimeter of Rectangle^2))
b = 1/4*(P-sqrt(8*(2*r_c)^2-P^2))

What is a Rectangle?

A Rectangle is a two dimensional geometric shape having four sides and four corners. The four sides are in two pairs, in which each pair of lines are equal in length and parallel to each other. And adjacent sides are perpendicular to each other. In general a 2D shape with four boundary edges are called quadrilaterals. So a rectangle is a quadrilateral in which each corner is right angle.

How to Calculate Breadth of Rectangle given Perimeter and Circumradius?

Breadth of Rectangle given Perimeter and Circumradius calculator uses Breadth of Rectangle = 1/4*(Perimeter of Rectangle-sqrt(8*(2*Circumradius of Rectangle)^2-Perimeter of Rectangle^2)) to calculate the Breadth of Rectangle, The Breadth of Rectangle given Perimeter and Circumradius formula is defined as any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides, and calculated using Perimeter and Circumradius of the Rectangle. Breadth of Rectangle is denoted by b symbol.

How to calculate Breadth of Rectangle given Perimeter and Circumradius using this online calculator? To use this online calculator for Breadth of Rectangle given Perimeter and Circumradius, enter Perimeter of Rectangle (P) & Circumradius of Rectangle (r_c) and hit the calculate button. Here is how the Breadth of Rectangle given Perimeter and Circumradius calculation can be explained with given input values -> 6 = 1/4*(28-sqrt(8*(2*5)^2-28^2)).

FAQ

What is Breadth of Rectangle given Perimeter and Circumradius?

The Breadth of Rectangle given Perimeter and Circumradius formula is defined as any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides, and calculated using Perimeter and Circumradius of the Rectangle and is represented as b = 1/4*(P-sqrt(8*(2*r_c)^2-P^2)) or Breadth of Rectangle = 1/4*(Perimeter of Rectangle-sqrt(8*(2*Circumradius of Rectangle)^2-Perimeter of Rectangle^2)). Perimeter of Rectangle is the total length of all the boundary lines of the 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.

How to calculate Breadth of Rectangle given Perimeter and Circumradius?

The Breadth of Rectangle given Perimeter and Circumradius formula is defined as any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides, and calculated using Perimeter and Circumradius of the Rectangle is calculated using Breadth of Rectangle = 1/4*(Perimeter of Rectangle-sqrt(8*(2*Circumradius of Rectangle)^2-Perimeter of Rectangle^2)). To calculate Breadth of Rectangle given Perimeter and Circumradius, you need Perimeter of Rectangle (P) & Circumradius of Rectangle (r_c). With our tool, you need to enter the respective value for Perimeter of Rectangle & Circumradius of Rectangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Breadth of Rectangle?

In this formula, Breadth of Rectangle uses Perimeter of Rectangle & Circumradius of Rectangle. We can use 32 other way(s) to calculate the same, which is/are as follows -

Breadth of Rectangle = Area of Rectangle/Length of Rectangle
Breadth of Rectangle = Diagonal of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2)
Breadth of Rectangle = Diagonal of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)
Breadth of Rectangle = (Perimeter of Rectangle-(2*Length of Rectangle))/2
Breadth of Rectangle = sqrt(Diagonal of Rectangle^2-Length of Rectangle^2)
Breadth of Rectangle = sqrt(4*Circumradius of Rectangle^2-Length of Rectangle^2)
Breadth of Rectangle = ((Diagonal of Rectangle^2-(Diagonal of Rectangle^4-(4*Area of Rectangle^2))^(1/2))/2)^(1/2)
Breadth of Rectangle = (Perimeter of Rectangle/2-sqrt((Perimeter of Rectangle^2)/4-(4*Area of Rectangle)))/2
Breadth of Rectangle = sqrt((2*Circumradius of Rectangle^2)-sqrt((4*Circumradius of Rectangle^4)-Area of Rectangle^2))
Breadth of Rectangle = sqrt((Diameter of Circumcircle of Rectangle^2-sqrt(Diameter of Circumcircle of Rectangle^4-(4*Area of Rectangle^2)))/2)
Breadth of Rectangle = sqrt(Area of Rectangle*tan(Angle between Diagonal and Length of Rectangle))
Breadth of Rectangle = sqrt(Area of Rectangle/tan(Angle between Diagonal and Breadth of Rectangle))
Breadth of Rectangle = sqrt(Area of Rectangle*tan(Acute Angle between Diagonals of Rectangle/2))
Breadth of Rectangle = sqrt(Area of Rectangle/tan(Obtuse Angle between Diagonals of Rectangle/2))
Breadth of Rectangle = Perimeter of Rectangle/2*(tan(Angle between Diagonal and Length of Rectangle)/(1+tan(Angle between Diagonal and Length of Rectangle)))
Breadth of Rectangle = Perimeter of Rectangle/(2*(1+tan(Angle between Diagonal and Breadth of Rectangle)))
Breadth of Rectangle = 1/4*(Perimeter of Rectangle-sqrt((8*Diagonal of Rectangle^2)-Perimeter of Rectangle^2))
Breadth of Rectangle = 1/4*(Perimeter of Rectangle-sqrt((8*Diameter of Circumcircle of Rectangle^2)-Perimeter of Rectangle^2))
Breadth of Rectangle = (Perimeter of Rectangle/2)*(tan(Acute Angle between Diagonals of Rectangle/2)/(1+tan(Acute Angle between Diagonals of Rectangle/2)))
Breadth of Rectangle = Perimeter of Rectangle/(2*(1+tan(Obtuse Angle between Diagonals of Rectangle/2)))
Breadth of Rectangle = Diagonal of Rectangle*sin(Angle between Diagonal and Length of Rectangle)
Breadth of Rectangle = Diagonal of Rectangle*cos(Angle between Diagonal and Breadth of Rectangle)
Breadth of Rectangle = 2*Circumradius of Rectangle*sin(Angle between Diagonal and Length of Rectangle)
Breadth of Rectangle = 2*Circumradius of Rectangle*cos(Angle between Diagonal and Breadth of Rectangle)
Breadth of Rectangle = 2*Circumradius of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)
Breadth of Rectangle = 2*Circumradius of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2)
Breadth of Rectangle = Diameter of Circumcircle of Rectangle*sin(Angle between Diagonal and Length of Rectangle)
Breadth of Rectangle = Diameter of Circumcircle of Rectangle*cos(Angle between Diagonal and Breadth of Rectangle)
Breadth of Rectangle = Diameter of Circumcircle of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)
Breadth of Rectangle = Diameter of Circumcircle of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2)
Breadth of Rectangle = Length of Rectangle*tan(Angle between Diagonal and Length of Rectangle)
Breadth of Rectangle = Length of Rectangle/tan(Angle between Diagonal and Breadth of Rectangle)

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