Length of Rectangle given Circumradius and Obtuse Angle between Diagonals Calculator

✖Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.ⓘ Circumradius of Rectangle [r_c]			+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%

✖Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.ⓘ Length of Rectangle given Circumradius and Obtuse Angle between Diagonals [l]

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Length of Rectangle given Circumradius and Obtuse Angle between Diagonals Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Rectangle = 2*Circumradius of Rectangle*sin(Obtuse Angle between Diagonals of Rectangle/2)
l = 2*r_c*sin(∠_d(Obtuse)/2)
This formula uses 1 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)

Variables Used

Length of Rectangle - (Measured in Meter) - Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.
Circumradius of Rectangle - (Measured in Meter) - Circumradius of Rectangle is the radius 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

Circumradius of Rectangle: 5 Meter --> 5 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

l = 2*r_c*sin(∠_d(Obtuse)/2) --> 2*5*sin(1.9198621771934/2)

Evaluating ... ...

l = 8.19152044288888

STEP 3: Convert Result to Output's Unit

8.19152044288888 Meter --> No Conversion Required

FINAL ANSWER

8.19152044288888 ≈ 8.19152 Meter <-- Length of Rectangle

(Calculation completed in 00.004 seconds)

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< Length of Rectangle Calculators

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Length of Rectangle given Perimeter and Breadth

LaTeX Go Length of Rectangle = (Perimeter of Rectangle-(2*Breadth of Rectangle))/2

Length of Rectangle given Area and Breadth

LaTeX Go Length of Rectangle = Area of Rectangle/Breadth of Rectangle

Length of Rectangle given Circumradius and Obtuse Angle between Diagonals Formula

LaTeX Go

Length of Rectangle = 2*Circumradius of Rectangle*sin(Obtuse Angle between Diagonals of Rectangle/2)
l = 2*r_c*sin(∠_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 Length of Rectangle given Circumradius and Obtuse Angle between Diagonals?

Length of Rectangle given Circumradius and Obtuse Angle between Diagonals calculator uses Length of Rectangle = 2*Circumradius of Rectangle*sin(Obtuse Angle between Diagonals of Rectangle/2) to calculate the Length of Rectangle, The Length of Rectangle given Circumradius and Obtuse angle between Diagonals formula is defined as any one of the pair of parallel sides which are longer than the remaining pair of parallel sides, and calculated using Circumradius and Obtuse angle between Diagonals of the Rectangle. Length of Rectangle is denoted by l symbol.

How to calculate Length of Rectangle given Circumradius and Obtuse Angle between Diagonals using this online calculator? To use this online calculator for Length of Rectangle given Circumradius and Obtuse Angle between Diagonals, enter Circumradius of Rectangle (r_c) & Obtuse Angle between Diagonals of Rectangle (∠_d(Obtuse)) and hit the calculate button. Here is how the Length of Rectangle given Circumradius and Obtuse Angle between Diagonals calculation can be explained with given input values -> 8.19152 = 2*5*sin(1.9198621771934/2).

FAQ

What is Length of Rectangle given Circumradius and Obtuse Angle between Diagonals?

The Length of Rectangle given Circumradius and Obtuse angle between Diagonals formula is defined as any one of the pair of parallel sides which are longer than the remaining pair of parallel sides, and calculated using Circumradius and Obtuse angle between Diagonals of the Rectangle and is represented as l = 2*r_c*sin(∠_d(Obtuse)/2) or Length of Rectangle = 2*Circumradius of Rectangle*sin(Obtuse Angle between Diagonals of Rectangle/2). Circumradius of Rectangle is the radius 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 Length of Rectangle given Circumradius and Obtuse Angle between Diagonals?

The Length of Rectangle given Circumradius and Obtuse angle between Diagonals formula is defined as any one of the pair of parallel sides which are longer than the remaining pair of parallel sides, and calculated using Circumradius and Obtuse angle between Diagonals of the Rectangle is calculated using Length of Rectangle = 2*Circumradius of Rectangle*sin(Obtuse Angle between Diagonals of Rectangle/2). To calculate Length of Rectangle given Circumradius and Obtuse Angle between Diagonals, you need Circumradius of Rectangle (r_c) & Obtuse Angle between Diagonals of Rectangle (∠_d(Obtuse)). With our tool, you need to enter the respective value for Circumradius 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 Length of Rectangle?

In this formula, Length of Rectangle uses Circumradius of Rectangle & Obtuse Angle between Diagonals of Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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