Angle between Diagonal and Length of Rectangle given Length and Circumradius Calculator

✖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 [l]			+10% -10%
✖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%

✖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.ⓘ Angle between Diagonal and Length of Rectangle given Length and Circumradius [∠_dl]

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Angle between Diagonal and Length of Rectangle given Length and Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle between Diagonal and Length of Rectangle = acos(Length of Rectangle/(2*Circumradius of Rectangle))
∠_dl = acos(l/(2*r_c))
This formula uses 2 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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Length of Rectangle: 8 Meter --> 8 Meter No Conversion Required
Circumradius of Rectangle: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_dl = acos(l/(2*r_c)) --> acos(8/(2*5))

Evaluating ... ...

∠_dl = 0.643501108793284

STEP 3: Convert Result to Output's Unit

0.643501108793284 Radian -->36.869897645851 Degree (Check conversion here)

FINAL ANSWER

36.869897645851 ≈ 36.8699 Degree <-- Angle between Diagonal and Length of Rectangle

(Calculation completed in 00.004 seconds)

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< Angle between Diagonal and Length of Rectangle Calculators

Angle between Diagonal and Length of Rectangle given Breadth and Circumradius

LaTeX Go Angle between Diagonal and Length of Rectangle = asin(Breadth of Rectangle/(2*Circumradius of Rectangle))

Angle between Diagonal and Length of Rectangle given Length and Circumradius

LaTeX Go Angle between Diagonal and Length of Rectangle = acos(Length of Rectangle/(2*Circumradius of Rectangle))

Angle between Diagonal and Length of Rectangle given Diagonal and Breadth

LaTeX Go Angle between Diagonal and Length of Rectangle = asin(Breadth of Rectangle/Diagonal of Rectangle)

Angle between Diagonal and Length of Rectangle given Diagonal and Length

LaTeX Go Angle between Diagonal and Length of Rectangle = acos(Length of Rectangle/Diagonal of Rectangle)

Angle between Diagonal and Length of Rectangle given Length and Circumradius Formula

LaTeX Go

Angle between Diagonal and Length of Rectangle = acos(Length of Rectangle/(2*Circumradius of Rectangle))
∠_dl = acos(l/(2*r_c))

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.

What is Angle?

In geometry, an angle can be defined as the figure formed by two rays starting from a common endpoint. As a measure, angle is the degree of wideness of the two rays forming the angle. Degree and Radian are the most common units of angle and they are related by pi radian = 180 degrees, where the two rays together form a straight line.

How to Calculate Angle between Diagonal and Length of Rectangle given Length and Circumradius?

Angle between Diagonal and Length of Rectangle given Length and Circumradius calculator uses Angle between Diagonal and Length of Rectangle = acos(Length of Rectangle/(2*Circumradius of Rectangle)) to calculate the Angle between Diagonal and Length of Rectangle, The Angle between Diagonal and Length of Rectangle given Length and Circumradius formula is defined as measure of wideness of the Angle made by any Diagonal with the Length of Rectangle, all the vertices of Rectangle are lying on the circle of given radius, and calculated using Length and Circumradius of Rectangle. Angle between Diagonal and Length of Rectangle is denoted by ∠_dl symbol.

How to calculate Angle between Diagonal and Length of Rectangle given Length and Circumradius using this online calculator? To use this online calculator for Angle between Diagonal and Length of Rectangle given Length and Circumradius, enter Length of Rectangle (l) & Circumradius of Rectangle (r_c) and hit the calculate button. Here is how the Angle between Diagonal and Length of Rectangle given Length and Circumradius calculation can be explained with given input values -> 2112.49 = acos(8/(2*5)).

FAQ

What is Angle between Diagonal and Length of Rectangle given Length and Circumradius?

The Angle between Diagonal and Length of Rectangle given Length and Circumradius formula is defined as measure of wideness of the Angle made by any Diagonal with the Length of Rectangle, all the vertices of Rectangle are lying on the circle of given radius, and calculated using Length and Circumradius of Rectangle and is represented as ∠_dl = acos(l/(2*r_c)) or Angle between Diagonal and Length of Rectangle = acos(Length of Rectangle/(2*Circumradius of Rectangle)). 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 is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.

How to calculate Angle between Diagonal and Length of Rectangle given Length and Circumradius?

The Angle between Diagonal and Length of Rectangle given Length and Circumradius formula is defined as measure of wideness of the Angle made by any Diagonal with the Length of Rectangle, all the vertices of Rectangle are lying on the circle of given radius, and calculated using Length and Circumradius of Rectangle is calculated using Angle between Diagonal and Length of Rectangle = acos(Length of Rectangle/(2*Circumradius of Rectangle)). To calculate Angle between Diagonal and Length of Rectangle given Length and Circumradius, you need Length of Rectangle (l) & Circumradius of Rectangle (r_c). With our tool, you need to enter the respective value for Length of Rectangle & Circumradius 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 Angle between Diagonal and Length of Rectangle?

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

Angle between Diagonal and Length of Rectangle = acos(Length of Rectangle/Diagonal of Rectangle)
Angle between Diagonal and Length of Rectangle = asin(Breadth of Rectangle/Diagonal of Rectangle)
Angle between Diagonal and Length of Rectangle = asin(Breadth of Rectangle/(2*Circumradius of Rectangle))

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