Acute Angle between Diagonals 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%

✖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 given Perimeter and Length [∠_d(Acute)]

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Acute Angle between Diagonals of Rectangle given Perimeter and Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acute Angle between Diagonals of Rectangle = 2*atan(((Perimeter of Rectangle/2)-Length of Rectangle)/Length of Rectangle)
∠_d(Acute) = 2*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

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.
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

∠_d(Acute) = 2*atan(((P/2)-l)/l) --> 2*atan(((28/2)-8)/8)

Evaluating ... ...

∠_d(Acute) = 1.28700221758657

STEP 3: Convert Result to Output's Unit

1.28700221758657 Radian -->73.7397952917019 Degree (Check conversion here)

FINAL ANSWER

73.7397952917019 ≈ 73.7398 Degree <-- Acute Angle between Diagonals of Rectangle

(Calculation completed in 00.004 seconds)

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IIT Madras (IIT Madras), Chennai

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< Acute Angle between Diagonals of Rectangle Calculators

Acute Angle between Diagonals of Rectangle given Breadth and Circumradius

LaTeX Go Acute Angle between Diagonals of Rectangle = 2*asin(Breadth of Rectangle/(2*Circumradius of Rectangle))

Acute Angle between Diagonals of Rectangle given Length and Circumradius

LaTeX Go Acute Angle between Diagonals of Rectangle = 2*acos(Length of Rectangle/(2*Circumradius of Rectangle))

Acute Angle between Diagonals of Rectangle given Diagonal and Breadth

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

Acute Angle between Diagonals of Rectangle given Diagonal and Length

LaTeX Go Acute Angle between Diagonals of Rectangle = 2*acos(Length of Rectangle/Diagonal of Rectangle)

Acute Angle between Diagonals of Rectangle given Perimeter and Length Formula

LaTeX Go

Acute Angle between Diagonals of Rectangle = 2*atan(((Perimeter of Rectangle/2)-Length of Rectangle)/Length of Rectangle)
∠_d(Acute) = 2*atan(((P/2)-l)/l)

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.

Property of angles formed between the diagonals of rectangle.

The diagonals of a rectangle are not perpendicular to each other except square. The angles formed by the intersection are not always the same measure, one is acute and another is obtuse. Opposite central angles are congruent and have the same size.

How to Calculate Acute Angle between Diagonals of Rectangle given Perimeter and Length?

Acute Angle between Diagonals of Rectangle given Perimeter and Length calculator uses Acute Angle between Diagonals of Rectangle = 2*atan(((Perimeter of Rectangle/2)-Length of Rectangle)/Length of Rectangle) to calculate the Acute Angle between Diagonals of Rectangle, The Acute Angle between Diagonals of Rectangle given Perimeter and Length formula is defined as the angle made by the diagonals of the Rectangle which is less than 90 degrees and calculated using perimeter and length of Rectangle. Acute Angle between Diagonals of Rectangle is denoted by ∠_d(Acute) symbol.

How to calculate Acute Angle between Diagonals of Rectangle given Perimeter and Length using this online calculator? To use this online calculator for Acute Angle between Diagonals of Rectangle given Perimeter and Length, enter Perimeter of Rectangle (P) & Length of Rectangle (l) and hit the calculate button. Here is how the Acute Angle between Diagonals of Rectangle given Perimeter and Length calculation can be explained with given input values -> 4224.979 = 2*atan(((28/2)-8)/8).

FAQ

What is Acute Angle between Diagonals of Rectangle given Perimeter and Length?

The Acute Angle between Diagonals of Rectangle given Perimeter and Length formula is defined as the angle made by the diagonals of the Rectangle which is less than 90 degrees and calculated using perimeter and length of Rectangle and is represented as ∠_d(Acute) = 2*atan(((P/2)-l)/l) or Acute Angle between Diagonals of Rectangle = 2*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 Acute Angle between Diagonals of Rectangle given Perimeter and Length?

The Acute Angle between Diagonals of Rectangle given Perimeter and Length formula is defined as the angle made by the diagonals of the Rectangle which is less than 90 degrees and calculated using perimeter and length of Rectangle is calculated using Acute Angle between Diagonals of Rectangle = 2*atan(((Perimeter of Rectangle/2)-Length of Rectangle)/Length of Rectangle). To calculate Acute Angle between Diagonals 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 Acute Angle between Diagonals of Rectangle?

In this formula, Acute Angle between Diagonals 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 -

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

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