Breadth of Rectangle given Circumradius and Acute 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%
✖Acute Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is less than 90 degrees.ⓘ Acute Angle between Diagonals of Rectangle [∠_d(Acute)]			+10% -10%

✖Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.ⓘ Breadth of Rectangle given Circumradius and Acute Angle between Diagonals [b]

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Breadth of Rectangle given Circumradius and Acute Angle between Diagonals Solution

STEP 0: Pre-Calculation Summary

Formula Used

Breadth of Rectangle = 2*Circumradius of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)
b = 2*r_c*sin(∠_d(Acute)/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

Breadth of Rectangle - (Measured in Meter) - Breadth of Rectangle is any one of the pair of parallel sides which are shorter 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.
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

Circumradius of Rectangle: 5 Meter --> 5 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

b = 2*r_c*sin(∠_d(Acute)/2) --> 2*5*sin(1.2217304763958/2)

Evaluating ... ...

b = 5.73576436350952

STEP 3: Convert Result to Output's Unit

5.73576436350952 Meter --> No Conversion Required

FINAL ANSWER

5.73576436350952 ≈ 5.735764 Meter <-- Breadth of Rectangle

(Calculation completed in 00.004 seconds)

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< Breadth of Rectangle Calculators

Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals

LaTeX Go Breadth of Rectangle = Diagonal of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2)

Breadth of Rectangle given Diagonal and Acute Angle between Diagonals

LaTeX Go Breadth of Rectangle = Diagonal of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)

Breadth of Rectangle given Perimeter

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

Breadth of Rectangle given Area

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

Breadth of Rectangle given Circumradius and Acute Angle between Diagonals Formula

LaTeX Go

Breadth of Rectangle = 2*Circumradius of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)
b = 2*r_c*sin(∠_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 Breadth of Rectangle given Circumradius and Acute Angle between Diagonals?

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

How to calculate Breadth of Rectangle given Circumradius and Acute Angle between Diagonals using this online calculator? To use this online calculator for Breadth of Rectangle given Circumradius and Acute Angle between Diagonals, enter Circumradius of Rectangle (r_c) & Acute Angle between Diagonals of Rectangle (∠_d(Acute)) and hit the calculate button. Here is how the Breadth of Rectangle given Circumradius and Acute Angle between Diagonals calculation can be explained with given input values -> 5.735764 = 2*5*sin(1.2217304763958/2).

FAQ

What is Breadth of Rectangle given Circumradius and Acute Angle between Diagonals?

The Breadth of Rectangle given Circumradius and Acute Angle between Diagonals formula is defined as any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides, and calculated using Circumradius and Acute Angle between Diagonals of the Rectangle and is represented as b = 2*r_c*sin(∠_d(Acute)/2) or Breadth of Rectangle = 2*Circumradius of Rectangle*sin(Acute 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 & 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 Breadth of Rectangle given Circumradius and Acute Angle between Diagonals?

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

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

Breadth of Rectangle = Area of Rectangle/Length of Rectangle
Breadth of Rectangle = Diagonal of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2)
Breadth of Rectangle = Diagonal of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)

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