Area of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
A = Dc^2*sin(d(Obtuse)/2)*cos(d(Obtuse)/2)
This formula uses 2 Functions, 3 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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.
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.
Obtuse Angle between Diagonals of Rectangle - (Measured in Radian) - Obtuse Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is greater than 90 degrees.
STEP 1: Convert Input(s) to Base Unit
Diameter of Circumcircle of Rectangle: 10 Meter --> 10 Meter No Conversion Required
Obtuse Angle between Diagonals of Rectangle: 110 Degree --> 1.9198621771934 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = Dc^2*sin(∠d(Obtuse)/2)*cos(∠d(Obtuse)/2) --> 10^2*sin(1.9198621771934/2)*cos(1.9198621771934/2)
Evaluating ... ...
A = 46.9846310393016
STEP 3: Convert Result to Output's Unit
46.9846310393016 Square Meter --> No Conversion Required
FINAL ANSWER
46.9846310393016 46.98463 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

Area of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals Formula

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)
A = Dc^2*sin(d(Obtuse)/2)*cos(d(Obtuse)/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 Diameter of Circumcircle and Obtuse Angle between Diagonals?

Area of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals calculator uses 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) to calculate the Area of Rectangle, The Area of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals formula is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using diameter of circumcircle and obtuse angle between diagonals of Rectangle. Area of Rectangle is denoted by A symbol.

How to calculate Area of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals using this online calculator? To use this online calculator for Area of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals, enter Diameter of Circumcircle of Rectangle (Dc) & Obtuse Angle between Diagonals of Rectangle (∠d(Obtuse)) and hit the calculate button. Here is how the Area of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals calculation can be explained with given input values -> 46.98463 = 10^2*sin(1.9198621771934/2)*cos(1.9198621771934/2).

FAQ

What is Area of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals?
The Area of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals formula is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using diameter of circumcircle and obtuse angle between diagonals of Rectangle and is represented as A = Dc^2*sin(∠d(Obtuse)/2)*cos(∠d(Obtuse)/2) or 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). 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 & Obtuse Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is greater than 90 degrees.
How to calculate Area of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals?
The Area of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals formula is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using diameter of circumcircle and obtuse angle between diagonals of Rectangle is calculated using 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). To calculate Area of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals, you need Diameter of Circumcircle of Rectangle (Dc) & Obtuse Angle between Diagonals of Rectangle (∠d(Obtuse)). With our tool, you need to enter the respective value for Diameter of Circumcircle of Rectangle & Obtuse Angle between Diagonals 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 Diameter of Circumcircle of Rectangle & Obtuse Angle between Diagonals of Rectangle. We can use 33 other way(s) to calculate the same, which is/are as follows -
  • Area of Rectangle = Breadth of Rectangle*sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2)
  • 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 = (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))
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