Breadth of Rectangle given Area and Diameter of Circumcircle Calculator

✖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 [D_c]			+10% -10%
✖Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.ⓘ Area of Rectangle [A]			+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 Area and Diameter of Circumcircle [b]

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Breadth of Rectangle given Area and Diameter of Circumcircle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Breadth of Rectangle = sqrt((Diameter of Circumcircle of Rectangle^2-sqrt(Diameter of Circumcircle of Rectangle^4-(4*Area of Rectangle^2)))/2)
b = sqrt((D_c^2-sqrt(D_c^4-(4*A^2)))/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.
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.
Area of Rectangle - (Measured in Square Meter) - Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

STEP 1: Convert Input(s) to Base Unit

Diameter of Circumcircle of Rectangle: 10 Meter --> 10 Meter No Conversion Required
Area of Rectangle: 48 Square Meter --> 48 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = sqrt((D_c^2-sqrt(D_c^4-(4*A^2)))/2) --> sqrt((10^2-sqrt(10^4-(4*48^2)))/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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< Breadth of Rectangle Calculators

Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals

LaTeX 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

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

Breadth of Rectangle given Perimeter

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

Breadth of Rectangle given Area

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

Breadth of Rectangle given Area and Diameter of Circumcircle Formula

LaTeX Go

Breadth of Rectangle = sqrt((Diameter of Circumcircle of Rectangle^2-sqrt(Diameter of Circumcircle of Rectangle^4-(4*Area of Rectangle^2)))/2)
b = sqrt((D_c^2-sqrt(D_c^4-(4*A^2)))/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 Area and Diameter of Circumcircle?

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

How to calculate Breadth of Rectangle given Area and Diameter of Circumcircle using this online calculator? To use this online calculator for Breadth 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. Here is how the Breadth of Rectangle given Area and Diameter of Circumcircle calculation can be explained with given input values -> 6 = sqrt((10^2-sqrt(10^4-(4*48^2)))/2).

FAQ

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

The Breadth of Rectangle given Area and Diameter of Circumcircle 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 Area and Diameter of Circumcircle of the Rectangle and is represented as b = sqrt((D_c^2-sqrt(D_c^4-(4*A^2)))/2) or Breadth of Rectangle = sqrt((Diameter of Circumcircle of Rectangle^2-sqrt(Diameter of Circumcircle of Rectangle^4-(4*Area of Rectangle^2)))/2). 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 & Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

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

The Breadth of Rectangle given Area and Diameter of Circumcircle 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 Area and Diameter of Circumcircle of the Rectangle is calculated using Breadth of Rectangle = sqrt((Diameter of Circumcircle of Rectangle^2-sqrt(Diameter of Circumcircle of Rectangle^4-(4*Area of Rectangle^2)))/2). To calculate Breadth of Rectangle given Area and Diameter of Circumcircle, you need Diameter of Circumcircle of Rectangle (D_c) & Area of Rectangle (A). With our tool, you need to enter the respective value for Diameter of Circumcircle of Rectangle & Area 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 Diameter of Circumcircle of Rectangle & Area of Rectangle. We can use 3 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)

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