Area of Rectangle given Breadth and Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Rectangle = Breadth of Rectangle*sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2)
A = b*sqrt(d^2-b^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
Area of Rectangle - (Measured in Square Meter) - Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.
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.
Diagonal of Rectangle - (Measured in Meter) - Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.
STEP 1: Convert Input(s) to Base Unit
Breadth of Rectangle: 6 Meter --> 6 Meter No Conversion Required
Diagonal of Rectangle: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = b*sqrt(d^2-b^2) --> 6*sqrt(10^2-6^2)
Evaluating ... ...
A = 48
STEP 3: Convert Result to Output's Unit
48 Square Meter --> No Conversion Required
FINAL ANSWER
48 Square Meter <-- Area of Rectangle
(Calculation completed in 00.004 seconds)

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25 Area of Rectangle Calculators

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

6 Area of Rectangle Calculators

Area of Rectangle given Breadth and Diagonal
Go Area of Rectangle = Breadth of Rectangle*sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2)
Area of Rectangle given Length and Diagonal
Go Area of Rectangle = Length of Rectangle*sqrt(Diagonal of Rectangle^2-Length of Rectangle^2)
Area of Rectangle given Perimeter and Breadth
Go Area of Rectangle = ((Perimeter of Rectangle*Breadth of Rectangle)-(2*Breadth of Rectangle^2))/2
Area of Rectangle given Perimeter and Length
Go Area of Rectangle = ((Perimeter of Rectangle*Length of Rectangle)-(2*Length of Rectangle^2))/2
Area of Rectangle given Perimeter and Diagonal
Go Area of Rectangle = ((Perimeter of Rectangle/2)^2-Diagonal of Rectangle^2)/2
Area of Rectangle
Go Area of Rectangle = Length of Rectangle*Breadth of Rectangle

Area of Rectangle given Breadth and Diagonal Formula

Area of Rectangle = Breadth of Rectangle*sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2)
A = b*sqrt(d^2-b^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 Area of Rectangle given Breadth and Diagonal?

Area of Rectangle given Breadth and Diagonal calculator uses Area of Rectangle = Breadth of Rectangle*sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2) to calculate the Area of Rectangle, Area of Rectangle given Breadth and Diagonal is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using breadth and diagonal of the Rectangle. Area of Rectangle is denoted by A symbol.

How to calculate Area of Rectangle given Breadth and Diagonal using this online calculator? To use this online calculator for Area of Rectangle given Breadth and Diagonal, enter Breadth of Rectangle (b) & Diagonal of Rectangle (d) and hit the calculate button. Here is how the Area of Rectangle given Breadth and Diagonal calculation can be explained with given input values -> 48 = 6*sqrt(10^2-6^2).

FAQ

What is Area of Rectangle given Breadth and Diagonal?
Area of Rectangle given Breadth and Diagonal is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using breadth and diagonal of the Rectangle and is represented as A = b*sqrt(d^2-b^2) or Area of Rectangle = Breadth of Rectangle*sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2). Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides & Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.
How to calculate Area of Rectangle given Breadth and Diagonal?
Area of Rectangle given Breadth and Diagonal is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using breadth and diagonal of the Rectangle is calculated using Area of Rectangle = Breadth of Rectangle*sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2). To calculate Area of Rectangle given Breadth and Diagonal, you need Breadth of Rectangle (b) & Diagonal of Rectangle (d). With our tool, you need to enter the respective value for Breadth of Rectangle & Diagonal 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 Area of Rectangle?
In this formula, Area of Rectangle uses Breadth of Rectangle & Diagonal of Rectangle. We can use 38 other way(s) to calculate the same, which is/are as follows -
  • Area of Rectangle = ((Perimeter of Rectangle*Length of Rectangle)-(2*Length of Rectangle^2))/2
  • Area of Rectangle = Length of Rectangle*sqrt(Diagonal of Rectangle^2-Length of Rectangle^2)
  • Area of Rectangle = Length of Rectangle*Breadth of Rectangle
  • Area of Rectangle = (Diagonal of Rectangle^2*sin(Acute Angle between Diagonals of Rectangle))/2
  • Area of Rectangle = ((Perimeter of Rectangle/2)^2-Diagonal of Rectangle^2)/2
  • Area of Rectangle = Breadth of Rectangle*sqrt(Diameter of Circumcircle of Rectangle^2-Breadth of Rectangle^2)
  • Area of Rectangle = Breadth of Rectangle*sqrt((4*Circumradius of Rectangle^2)-Breadth of Rectangle^2)
  • Area of Rectangle = Length of Rectangle*sqrt(Diameter of Circumcircle of Rectangle^2-Length of Rectangle^2)
  • Area of Rectangle = Length of Rectangle*sqrt((4*Circumradius of Rectangle^2)-Length of Rectangle^2)
  • Area of Rectangle = ((Perimeter of Rectangle*Breadth of Rectangle)-(2*Breadth of Rectangle^2))/2
  • Area of Rectangle = (Diagonal of Rectangle^2*sin(Obtuse Angle between Diagonals of Rectangle))/2
  • Area of Rectangle = Length of Rectangle^2* tan(Angle between Diagonal and Length of Rectangle)
  • Area of Rectangle = Length of Rectangle^2*cot(Angle between Diagonal and Breadth of Rectangle)
  • Area of Rectangle = Length of Rectangle^2*tan(Acute Angle between Diagonals of Rectangle/2)
  • Area of Rectangle = Breadth of Rectangle^2*cot(Angle between Diagonal and Length of Rectangle)
  • Area of Rectangle = Length of Rectangle^2*cot(Obtuse Angle between Diagonals of Rectangle/2)
  • Area of Rectangle = Breadth of Rectangle^2*tan(Angle between Diagonal and Breadth of Rectangle)
  • Area of Rectangle = Breadth of Rectangle^2*cot(Acute Angle between Diagonals of Rectangle/2 )
  • Area of Rectangle = Breadth of Rectangle^2*tan(Obtuse Angle between Diagonals of Rectangle/2)
  • Area of Rectangle = (Diagonal of Rectangle^2*sin(2*Angle between Diagonal and Length of Rectangle))/2
  • Area of Rectangle = (Diagonal of Rectangle^2*sin(2*Angle between Diagonal and Breadth of Rectangle))/2
  • Area of Rectangle = 4*Circumradius of Rectangle^2*sin(Angle between Diagonal and Length of Rectangle)*cos(Angle between Diagonal and Length of Rectangle)
  • Area of Rectangle = 4*Circumradius of Rectangle^2*sin(Angle between Diagonal and Breadth of Rectangle)*cos(Angle between Diagonal and Breadth of Rectangle)
  • Area of Rectangle = 4*Circumradius of Rectangle^2*cos(Acute Angle between Diagonals of Rectangle/2)*sin(Acute Angle between Diagonals of Rectangle/2)
  • Area of Rectangle = 4*Circumradius of Rectangle^2*cos(Obtuse Angle between Diagonals of Rectangle/2)*sin(Obtuse Angle between Diagonals of Rectangle/2)
  • Area of Rectangle = Diameter of Circumcircle of Rectangle^2*sin(Angle between Diagonal and Length of Rectangle)*cos(Angle between Diagonal and Length of Rectangle)
  • Area of Rectangle = Diameter of Circumcircle of Rectangle^2*sin(Angle between Diagonal and Breadth of Rectangle)*cos(Angle between Diagonal and Breadth of Rectangle)
  • Area of Rectangle = Diameter of Circumcircle of Rectangle^2*sin(Acute Angle between Diagonals of Rectangle/2)*cos(Acute Angle between Diagonals of Rectangle/2)
  • Area of Rectangle = Diameter of Circumcircle of Rectangle^2*sin(Obtuse Angle between Diagonals of Rectangle/2)*cos(Obtuse Angle between Diagonals of Rectangle/2)
  • Area of Rectangle = (Perimeter of Rectangle/2)^2/((tan(Angle between Diagonal and Length of Rectangle)+1)*(cot(Angle between Diagonal and Length of Rectangle)+1))
  • Area of Rectangle = (Perimeter of Rectangle/2)^2/((tan(Angle between Diagonal and Breadth of Rectangle)+1)*(cot(Angle between Diagonal and Breadth of Rectangle)+1))
  • Area of Rectangle = (Perimeter of Rectangle/2)^2/((tan(Acute Angle between Diagonals of Rectangle/2)+1)*(cot(Acute Angle between Diagonals of Rectangle/2)+1))
  • Area of Rectangle = (Perimeter of Rectangle/2)^2/((tan(Obtuse Angle between Diagonals of Rectangle/2)+1)*(cot(Obtuse Angle between Diagonals of Rectangle/2)+1))
  • Area of Rectangle = Length of Rectangle*Breadth of Rectangle
  • Area of Rectangle = ((Perimeter of Rectangle*Length of Rectangle)-(2*Length of Rectangle^2))/2
  • Area of Rectangle = ((Perimeter of Rectangle/2)^2-Diagonal of Rectangle^2)/2
  • Area of Rectangle = ((Perimeter of Rectangle*Breadth of Rectangle)-(2*Breadth of Rectangle^2))/2
  • Area of Rectangle = Length of Rectangle*sqrt(Diagonal of Rectangle^2-Length of Rectangle^2)
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