Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Dc = (sqrt(A*cot(dl)))/(cos(dl))
This formula uses 3 Functions, 3 Variables
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.
Angle between Diagonal and Length of Rectangle - (Measured in Radian) - Angle between Diagonal and Length of Rectangle is the measure of wideness of the angle made by any diagonal with the length of the Rectangle.
STEP 1: Convert Input(s) to Base Unit
Area of Rectangle: 48 Square Meter --> 48 Square Meter No Conversion Required
Angle between Diagonal and Length of Rectangle: 35 Degree --> 0.610865238197901 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dc = (sqrt(A*cot(∠dl)))/(cos(∠dl)) --> (sqrt(48*cot(0.610865238197901)))/(cos(0.610865238197901))
Evaluating ... ...
Dc = 10.1074757559786
STEP 3: Convert Result to Output's Unit
10.1074757559786 Meter --> No Conversion Required
FINAL ANSWER
10.1074757559786 10.10748 Meter <-- Diameter of Circumcircle of Rectangle
(Calculation completed in 00.020 seconds)

Credits

Creator Image
Created by Bhavya Mutyala
Osmania University (OU), Hyderabad
Bhavya Mutyala has created this Calculator and 200+ more calculators!
Verifier Image
Verified by Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
Nayana Phulphagar has verified this Calculator and 1500+ more calculators!

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 Angle between Diagonal and Length Formula

​LaTeX ​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))
Dc = (sqrt(A*cot(dl)))/(cos(dl))

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 Angle between Diagonal and Length?

Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length calculator uses 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)) to calculate the Diameter of Circumcircle of Rectangle, The Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length 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 angle between diagonal and length of the Rectangle. Diameter of Circumcircle of Rectangle is denoted by Dc symbol.

How to calculate Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length using this online calculator? To use this online calculator for Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length, enter Area of Rectangle (A) & Angle between Diagonal and Length of Rectangle (∠dl) and hit the calculate button. Here is how the Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length calculation can be explained with given input values -> 10.10748 = (sqrt(48*cot(0.610865238197901)))/(cos(0.610865238197901)).

FAQ

What is Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length?
The Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length 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 angle between diagonal and length of the Rectangle and is represented as Dc = (sqrt(A*cot(∠dl)))/(cos(∠dl)) or 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)). Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle & Angle between Diagonal and Length of Rectangle is the measure of wideness of the angle made by any diagonal with the length of the Rectangle.
How to calculate Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length?
The Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length 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 angle between diagonal and length of the Rectangle is calculated using 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)). To calculate Diameter of Circumcircle of Rectangle given Area and Angle between Diagonal and Length, you need Area of Rectangle (A) & Angle between Diagonal and Length of Rectangle (∠dl). With our tool, you need to enter the respective value for Area of Rectangle & Angle between Diagonal and Length 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 & Angle between Diagonal and Length 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)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!