Diameter of Circumcircle of Rectangle given Perimeter and Acute Angle between Diagonals Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Circumcircle of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*(Acute Angle between Diagonals of Rectangle/2))))
Dc = P/2*1/(sqrt(1+sin(2*(d(Acute)/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)
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.
Perimeter of Rectangle - (Measured in Meter) - Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.
Acute Angle between Diagonals of Rectangle - (Measured in Radian) - Acute Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is less than 90 degrees.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Rectangle: 28 Meter --> 28 Meter No Conversion Required
Acute Angle between Diagonals of Rectangle: 70 Degree --> 1.2217304763958 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dc = P/2*1/(sqrt(1+sin(2*(∠d(Acute)/2)))) --> 28/2*1/(sqrt(1+sin(2*(1.2217304763958/2))))
Evaluating ... ...
Dc = 10.0522106028639
STEP 3: Convert Result to Output's Unit
10.0522106028639 Meter --> No Conversion Required
FINAL ANSWER
10.0522106028639 10.05221 Meter <-- Diameter of Circumcircle of Rectangle
(Calculation completed in 00.004 seconds)

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22 Circumcircle of Rectangle Calculators

Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Breadth
Go Diameter of Circumcircle of Rectangle = (sqrt(Area of Rectangle*cot((pi/2)-Angle between Diagonal and Breadth of Rectangle)))/(cos((pi/2)-Angle between Diagonal and Breadth of Rectangle))
Diameter of Circumcircle of Rectangle given Area and Obtuse Angle between Diagonals
Go Diameter of Circumcircle of Rectangle = (sqrt(Area of Rectangle*cot((pi-Obtuse Angle between Diagonals of Rectangle)/2)))/(cos((pi-Obtuse Angle between Diagonals of Rectangle)/2))
Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length
Go Diameter of Circumcircle of Rectangle = (sqrt(Area of Rectangle*cot(Angle between Diagonal and Length of Rectangle)))/(cos(Angle between Diagonal and Length of Rectangle))
Diameter of Circumcircle of Rectangle given Area and Acute Angle between Diagonals
Go Diameter of Circumcircle of Rectangle = (sqrt(Area of Rectangle*cot(Acute Angle between Diagonals of Rectangle/2)))/(cos(Acute Angle between Diagonals of Rectangle/2))
Diameter of Circumcircle of Rectangle given Perimeter and Breadth
Go Diameter of Circumcircle of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+((Perimeter of Rectangle^2)/4))
Diameter of Circumcircle of Rectangle given Perimeter and Length
Go Diameter of Circumcircle of Rectangle = sqrt((2*Length of Rectangle^2)-(Perimeter of Rectangle*Length of Rectangle)+((Perimeter of Rectangle^2)/4))
Diameter of Circumcircle of Rectangle given Perimeter and Angle between Diagonal and Breadth
Go Diameter of Circumcircle of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*((pi/2)-Angle between Diagonal and Breadth of Rectangle))))
Diameter of Circumcircle of Rectangle given Perimeter and Obtuse Angle between Diagonals
Go Diameter of Circumcircle of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*((pi-Obtuse Angle between Diagonals of Rectangle)/2))))
Diameter of Circumcircle of Rectangle given Perimeter and Acute Angle between Diagonals
Go Diameter of Circumcircle of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*(Acute Angle between Diagonals of Rectangle/2))))
Diameter of Circumcircle of Rectangle given Breadth and Angle between Diagonal and Breadth
Go Diameter of Circumcircle of Rectangle = Breadth of Rectangle*cosec((pi/2)-Angle between Diagonal and Breadth of Rectangle)
Diameter of Circumcircle of Rectangle given Length and Angle between Diagonal and Breadth
Go Diameter of Circumcircle of Rectangle = Length of Rectangle*sec((pi/2)-Angle between Diagonal and Breadth of Rectangle)
Diameter of Circumcircle of Rectangle given Breadth and Obtuse Angle between Diagonals
Go Diameter of Circumcircle of Rectangle = Breadth of Rectangle*cosec((pi-Obtuse Angle between Diagonals of Rectangle)/2)
Diameter of Circumcircle of Rectangle given Length and Obtuse Angle between Diagonals
Go Diameter of Circumcircle of Rectangle = Length of Rectangle/(cos((pi-Obtuse Angle between Diagonals of Rectangle)/2))
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 given Breadth and Angle between Diagonal and Length
Go Diameter of Circumcircle of Rectangle = Breadth of Rectangle*cosec(Angle between Diagonal and Length of Rectangle)
Diameter of Circumcircle of Rectangle given Breadth and Acute Angle between Diagonals
Go Diameter of Circumcircle of Rectangle = Breadth of Rectangle*cosec(Acute Angle between Diagonals of Rectangle/2)
Diameter of Circumcircle of Rectangle given Length and Angle between Diagonal and Length
Go Diameter of Circumcircle of Rectangle = Length of Rectangle*sec(Angle between Diagonal and Length of Rectangle)
Diameter of Circumcircle of Rectangle given Length and Acute Angle between Diagonals
Go Diameter of Circumcircle of Rectangle = Length of Rectangle/(cos(Acute Angle between Diagonals of Rectangle/2))
Diameter of Circumcircle of Rectangle given Area and Perimeter
Go Diameter of Circumcircle of Rectangle = 1/2*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle))
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 Acute Angle between Diagonals Formula

Diameter of Circumcircle of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*(Acute Angle between Diagonals of Rectangle/2))))
Dc = P/2*1/(sqrt(1+sin(2*(d(Acute)/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 Diameter of Circumcircle of Rectangle given Perimeter and Acute Angle between Diagonals?

Diameter of Circumcircle of Rectangle given Perimeter and Acute Angle between Diagonals calculator uses Diameter of Circumcircle of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*(Acute Angle between Diagonals of Rectangle/2)))) to calculate the Diameter of Circumcircle of Rectangle, The Diameter of Circumcircle of Rectangle given Perimeter and Acute Angle between Diagonals 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 acute angle between diagonals of the Rectangle. Diameter of Circumcircle of Rectangle is denoted by Dc symbol.

How to calculate Diameter of Circumcircle of Rectangle given Perimeter and Acute Angle between Diagonals using this online calculator? To use this online calculator for Diameter of Circumcircle of Rectangle given Perimeter and Acute Angle between Diagonals, enter Perimeter of Rectangle (P) & Acute Angle between Diagonals of Rectangle (∠d(Acute)) and hit the calculate button. Here is how the Diameter of Circumcircle of Rectangle given Perimeter and Acute Angle between Diagonals calculation can be explained with given input values -> 10.05221 = 28/2*1/(sqrt(1+sin(2*(1.2217304763958/2)))).

FAQ

What is Diameter of Circumcircle of Rectangle given Perimeter and Acute Angle between Diagonals?
The Diameter of Circumcircle of Rectangle given Perimeter and Acute Angle between Diagonals 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 acute angle between diagonals of the Rectangle and is represented as Dc = P/2*1/(sqrt(1+sin(2*(∠d(Acute)/2)))) or Diameter of Circumcircle of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*(Acute Angle between Diagonals of Rectangle/2)))). Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle & Acute Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is less than 90 degrees.
How to calculate Diameter of Circumcircle of Rectangle given Perimeter and Acute Angle between Diagonals?
The Diameter of Circumcircle of Rectangle given Perimeter and Acute Angle between Diagonals 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 acute angle between diagonals of the Rectangle is calculated using Diameter of Circumcircle of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*(Acute Angle between Diagonals of Rectangle/2)))). To calculate Diameter of Circumcircle of Rectangle given Perimeter and Acute Angle between Diagonals, you need Perimeter of Rectangle (P) & Acute Angle between Diagonals of Rectangle (∠d(Acute)). With our tool, you need to enter the respective value for Perimeter of Rectangle & Acute 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 Diameter of Circumcircle of Rectangle?
In this formula, Diameter of Circumcircle of Rectangle uses Perimeter of Rectangle & Acute Angle between Diagonals of Rectangle. We can use 21 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)
  • Diameter of Circumcircle of Rectangle = sqrt((Area of Rectangle/Breadth of Rectangle)^2+Breadth of Rectangle^2)
  • Diameter of Circumcircle of Rectangle = 1/2*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle))
  • Diameter of Circumcircle of Rectangle = (sqrt(Area of Rectangle*cot(Angle between Diagonal and Length of Rectangle)))/(cos(Angle between Diagonal and Length of Rectangle))
  • Diameter of Circumcircle of Rectangle = (sqrt(Area of Rectangle*cot((pi/2)-Angle between Diagonal and Breadth of Rectangle)))/(cos((pi/2)-Angle between Diagonal and Breadth of Rectangle))
  • Diameter of Circumcircle of Rectangle = (sqrt(Area of Rectangle*cot(Acute Angle between Diagonals of Rectangle/2)))/(cos(Acute Angle between Diagonals of Rectangle/2))
  • Diameter of Circumcircle of Rectangle = (sqrt(Area of Rectangle*cot((pi-Obtuse Angle between Diagonals of Rectangle)/2)))/(cos((pi-Obtuse Angle between Diagonals of Rectangle)/2))
  • Diameter of Circumcircle of Rectangle = sqrt((2*Length of Rectangle^2)-(Perimeter of Rectangle*Length of Rectangle)+((Perimeter of Rectangle^2)/4))
  • Diameter of Circumcircle of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+((Perimeter of Rectangle^2)/4))
  • Diameter of Circumcircle of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*((pi/2)-Angle between Diagonal and Breadth of Rectangle))))
  • Diameter of Circumcircle of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*((pi-Obtuse Angle between Diagonals of Rectangle)/2))))
  • Diameter of Circumcircle of Rectangle = Length of Rectangle*sec((pi/2)-Angle between Diagonal and Breadth of Rectangle)
  • Diameter of Circumcircle of Rectangle = Length of Rectangle*sec(Angle between Diagonal and Length of Rectangle)
  • Diameter of Circumcircle of Rectangle = Length of Rectangle/(cos((pi-Obtuse Angle between Diagonals of Rectangle)/2))
  • Diameter of Circumcircle of Rectangle = Length of Rectangle/(cos(Acute Angle between Diagonals of Rectangle/2))
  • Diameter of Circumcircle of Rectangle = Breadth of Rectangle*cosec(Angle between Diagonal and Length of Rectangle)
  • Diameter of Circumcircle of Rectangle = Breadth of Rectangle*cosec((pi/2)-Angle between Diagonal and Breadth of Rectangle)
  • Diameter of Circumcircle of Rectangle = Breadth of Rectangle*cosec((pi-Obtuse Angle between Diagonals of Rectangle)/2)
  • Diameter of Circumcircle of Rectangle = Breadth of Rectangle*cosec(Acute Angle between Diagonals of Rectangle/2)
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