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

✖Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.ⓘ Perimeter of Rectangle [P]			+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 [l]			+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 Perimeter and Length [∠_dl]

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

STEP 0: Pre-Calculation Summary

Formula Used

Angle between Diagonal and Length of Rectangle = atan(((Perimeter of Rectangle/2)-Length of Rectangle)/Length of Rectangle)
∠_dl = atan(((P/2)-l)/l)
This formula uses 2 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(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.
Perimeter of Rectangle - (Measured in Meter) - Perimeter of Rectangle is the total length of all the boundary lines 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.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Rectangle: 28 Meter --> 28 Meter No Conversion Required
Length of Rectangle: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_dl = atan(((P/2)-l)/l) --> atan(((28/2)-8)/8)

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 00.020 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 Perimeter and Length Formula

LaTeX Go

Angle between Diagonal and Length of Rectangle = atan(((Perimeter of Rectangle/2)-Length of Rectangle)/Length of Rectangle)
∠_dl = atan(((P/2)-l)/l)

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 Perimeter and Length?

Angle between Diagonal and Length of Rectangle given Perimeter and Length calculator uses Angle between Diagonal and Length of Rectangle = atan(((Perimeter of Rectangle/2)-Length of Rectangle)/Length of Rectangle) to calculate the Angle between Diagonal and Length of Rectangle, The Angle between Diagonal and Length of Rectangle given Perimeter and Length formula is defined as measure of wideness of the Angle made by any Diagonal with the Length of Rectangle and calculated using Perimeter and Length 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 Perimeter and Length using this online calculator? To use this online calculator for Angle between Diagonal and Length of Rectangle given Perimeter and Length, enter Perimeter of Rectangle (P) & Length of Rectangle (l) and hit the calculate button. Here is how the Angle between Diagonal and Length of Rectangle given Perimeter and Length calculation can be explained with given input values -> 2112.49 = atan(((28/2)-8)/8).

FAQ

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

The Angle between Diagonal and Length of Rectangle given Perimeter and Length formula is defined as measure of wideness of the Angle made by any Diagonal with the Length of Rectangle and calculated using Perimeter and Length of Rectangle and is represented as ∠_dl = atan(((P/2)-l)/l) or Angle between Diagonal and Length of Rectangle = atan(((Perimeter of Rectangle/2)-Length of Rectangle)/Length of Rectangle). Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle & Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.

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

The Angle between Diagonal and Length of Rectangle given Perimeter and Length formula is defined as measure of wideness of the Angle made by any Diagonal with the Length of Rectangle and calculated using Perimeter and Length of Rectangle is calculated using Angle between Diagonal and Length of Rectangle = atan(((Perimeter of Rectangle/2)-Length of Rectangle)/Length of Rectangle). To calculate Angle between Diagonal and Length of Rectangle given Perimeter and Length, you need Perimeter of Rectangle (P) & Length of Rectangle (l). With our tool, you need to enter the respective value for Perimeter of Rectangle & 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 Angle between Diagonal and Length of Rectangle?

In this formula, Angle between Diagonal and Length of Rectangle uses Perimeter of Rectangle & Length 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 = acos(Length of Rectangle/(2*Circumradius of Rectangle))

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