Diameter of Circumcircle of Rectangle given Perimeter and Breadth Calculator

✖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 [b]			+10% -10%
✖Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.ⓘ Perimeter of Rectangle [P]			+10% -10%

✖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.ⓘ Diameter of Circumcircle of Rectangle given Perimeter and Breadth [D_c]

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Formula

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Diameter of Circumcircle of Rectangle given Perimeter and Breadth

Formula

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

Example

10 m = \sqrt{(2 \cdot {6 m}^{2}) - (28 m \cdot 6 m) + (\frac{{28 m}^{2}}{4})}

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Diameter of Circumcircle of Rectangle given Perimeter and Breadth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Circumcircle of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+((Perimeter of Rectangle^2)/4))
D_c = sqrt((2*b^2)-(P*b)+((P^2)/4))
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

Diameter of Circumcircle of Rectangle - (Measured in Meter) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Breadth of Rectangle: 6 Meter --> 6 Meter No Conversion Required
Perimeter of Rectangle: 28 Meter --> 28 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_c = sqrt((2*b^2)-(P*b)+((P^2)/4)) --> sqrt((2*6^2)-(28*6)+((28^2)/4))

Evaluating ... ...

D_c = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Diameter of Circumcircle of Rectangle

(Calculation completed in 00.020 seconds)

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< Circumcircle of Rectangle Calculators

Diameter of Circumcircle of Rectangle given Area and Breadth

Go Diameter of Circumcircle of Rectangle = sqrt((Area of Rectangle/Breadth of Rectangle)^2+Breadth of Rectangle^2)

Diameter of Circumcircle of Rectangle given Area and Length

Go Diameter of Circumcircle of Rectangle = sqrt((Area of Rectangle/Length of Rectangle)^2+Length of Rectangle^2)

Diameter of Circumcircle of Rectangle

Go Diameter of Circumcircle of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)

Diameter of Circumcircle of Rectangle given Circumradius

Go Diameter of Circumcircle of Rectangle = 2*Circumradius of Rectangle

Diameter of Circumcircle of Rectangle given Perimeter and Breadth Formula

Diameter of Circumcircle of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+((Perimeter of Rectangle^2)/4))
D_c = sqrt((2*b^2)-(P*b)+((P^2)/4))

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 Diameter of Circumcircle of Rectangle given Perimeter and Breadth?

Diameter of Circumcircle of Rectangle given Perimeter and Breadth calculator uses Diameter of Circumcircle of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+((Perimeter of Rectangle^2)/4)) to calculate the Diameter of Circumcircle of Rectangle, The Diameter of Circumcircle of Rectangle given Perimeter and Breadth 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 perimeter and breadth of the Rectangle. Diameter of Circumcircle of Rectangle is denoted by D_c symbol.

How to calculate Diameter of Circumcircle of Rectangle given Perimeter and Breadth using this online calculator? To use this online calculator for Diameter of Circumcircle of Rectangle given Perimeter and Breadth, enter Breadth of Rectangle (b) & Perimeter of Rectangle (P) and hit the calculate button. Here is how the Diameter of Circumcircle of Rectangle given Perimeter and Breadth calculation can be explained with given input values -> 10 = sqrt((2*6^2)-(28*6)+((28^2)/4)).

FAQ

What is Diameter of Circumcircle of Rectangle given Perimeter and Breadth?

The Diameter of Circumcircle of Rectangle given Perimeter and Breadth 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 perimeter and breadth of the Rectangle and is represented as D_c = sqrt((2*b^2)-(P*b)+((P^2)/4)) or Diameter of Circumcircle of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+((Perimeter of Rectangle^2)/4)). 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 is the total length of all the boundary lines of the Rectangle.

How to calculate Diameter of Circumcircle of Rectangle given Perimeter and Breadth?

The Diameter of Circumcircle of Rectangle given Perimeter and Breadth 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 perimeter and breadth of the Rectangle is calculated using Diameter of Circumcircle of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+((Perimeter of Rectangle^2)/4)). To calculate Diameter of Circumcircle of Rectangle given Perimeter and Breadth, you need Breadth of Rectangle (b) & Perimeter of Rectangle (P). With our tool, you need to enter the respective value for Breadth of Rectangle & Perimeter 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 Diameter of Circumcircle of Rectangle?

In this formula, Diameter of Circumcircle of Rectangle uses Breadth of Rectangle & Perimeter of Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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