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

✖Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.ⓘ Area of Rectangle [A]			+10% -10%
✖Obtuse Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is greater than 90 degrees.ⓘ Obtuse Angle between Diagonals of Rectangle [∠_d(Obtuse)]			+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 Area and Obtuse Angle between Diagonals [D_c]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
D_c = (sqrt(A*cot((pi-∠_d(Obtuse))/2)))/(cos((pi-∠_d(Obtuse))/2))
This formula uses 1 Constants, 3 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(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.
Area of Rectangle - (Measured in Square Meter) - Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.
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

Area of Rectangle: 48 Square Meter --> 48 Square 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

D_c = (sqrt(A*cot((pi-∠_d(Obtuse))/2)))/(cos((pi-∠_d(Obtuse))/2)) --> (sqrt(48*cot((pi-1.9198621771934)/2)))/(cos((pi-1.9198621771934)/2))

Evaluating ... ...

D_c = 10.1074757559776

STEP 3: Convert Result to Output's Unit

10.1074757559776 Meter --> No Conversion Required

FINAL ANSWER

10.1074757559776 ≈ 10.10748 Meter <-- Diameter of Circumcircle of Rectangle

(Calculation completed in 00.004 seconds)

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< Circumcircle of Rectangle Calculators

Diameter of Circumcircle of Rectangle given Area and Breadth

LaTeX 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

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

Diameter of Circumcircle of Rectangle

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

Diameter of Circumcircle of Rectangle given Circumradius

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

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

LaTeX Go

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 Area and Obtuse Angle between Diagonals?

Diameter of Circumcircle of Rectangle given Area and Obtuse Angle between Diagonals calculator uses 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)) to calculate the Diameter of Circumcircle of Rectangle, The Diameter of Circumcircle of Rectangle given Area and Obtuse 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 area and obtuse angle between diagonals of the Rectangle. Diameter of Circumcircle of Rectangle is denoted by D_c symbol.

How to calculate Diameter of Circumcircle of Rectangle given Area and Obtuse Angle between Diagonals using this online calculator? To use this online calculator for Diameter of Circumcircle of Rectangle given Area and Obtuse Angle between Diagonals, enter Area of Rectangle (A) & Obtuse Angle between Diagonals of Rectangle (∠_d(Obtuse)) and hit the calculate button. Here is how the Diameter of Circumcircle of Rectangle given Area and Obtuse Angle between Diagonals calculation can be explained with given input values -> 10.10748 = (sqrt(48*cot((pi-1.9198621771934)/2)))/(cos((pi-1.9198621771934)/2)).

FAQ

What is Diameter of Circumcircle of Rectangle given Area and Obtuse Angle between Diagonals?

The Diameter of Circumcircle of Rectangle given Area and Obtuse 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 area and obtuse angle between diagonals of the Rectangle and is represented as D_c = (sqrt(A*cot((pi-∠_d(Obtuse))/2)))/(cos((pi-∠_d(Obtuse))/2)) or 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)). Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle & 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 Diameter of Circumcircle of Rectangle given Area and Obtuse Angle between Diagonals?

The Diameter of Circumcircle of Rectangle given Area and Obtuse 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 area and obtuse angle between diagonals of the Rectangle is calculated using 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)). To calculate Diameter of Circumcircle of Rectangle given Area and Obtuse Angle between Diagonals, you need Area of Rectangle (A) & Obtuse Angle between Diagonals of Rectangle (∠_d(Obtuse)). With our tool, you need to enter the respective value for Area 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 Diameter of Circumcircle of Rectangle?

In this formula, Diameter of Circumcircle of Rectangle uses Area of Rectangle & Obtuse Angle between Diagonals 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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