Acute Angle between Diagonals of Rectangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Acute Angle between Diagonals of Rectangle = 2*atan(Breadth of Rectangle/Length of Rectangle)
d(Acute) = 2*atan(b/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.
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.
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
Breadth of Rectangle: 6 Meter --> 6 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(b/l) --> 2*atan(6/8)
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)

Credits

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Birsa Institute of Technology (BIT), Sindri
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14 Acute Angle between Diagonals of Rectangle Calculators

Acute Angle between Diagonals of Rectangle given Perimeter and Breadth
Go Acute Angle between Diagonals of Rectangle = 2*atan(Breadth of Rectangle/((Perimeter of Rectangle/2)-Breadth of Rectangle))
Acute Angle between Diagonals of Rectangle given Perimeter and Length
Go Acute Angle between Diagonals of Rectangle = 2*atan(((Perimeter of Rectangle/2)-Length of Rectangle)/Length of Rectangle)
Acute Angle between Diagonals of Rectangle given Area and Breadth
Go Acute Angle between Diagonals of Rectangle = 2*atan(Breadth of Rectangle/(Area of Rectangle/Breadth of Rectangle))
Acute Angle between Diagonals of Rectangle given Area and Length
Go Acute Angle between Diagonals of Rectangle = 2*atan((Area of Rectangle/Length of Rectangle)/Length of Rectangle)
Acute Angle between Diagonals of Rectangle given Diameter of Circumcircle and Breadth
Go Acute Angle between Diagonals of Rectangle = 2*asin(Breadth of Rectangle/Diameter of Circumcircle of Rectangle)
Acute Angle between Diagonals of Rectangle given Diameter of Circumcircle and Length
Go Acute Angle between Diagonals of Rectangle = 2*acos(Length of Rectangle/Diameter of Circumcircle of Rectangle)
Acute Angle between Diagonals of Rectangle given Breadth and Circumradius
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
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
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
Go Acute Angle between Diagonals of Rectangle = 2*acos(Length of Rectangle/Diagonal of Rectangle)
Acute Angle between Diagonals of Rectangle
Go Acute Angle between Diagonals of Rectangle = 2*atan(Breadth of Rectangle/Length of Rectangle)
Acute Angle between Diagonals of Rectangle given Angle between Diagonal and Breadth
Go Acute Angle between Diagonals of Rectangle = 2*((pi/2)-Angle between Diagonal and Breadth of Rectangle)
Acute Angle between Diagonals of Rectangle given Obtuse Angle
Go Acute Angle between Diagonals of Rectangle = pi-Obtuse Angle between Diagonals of Rectangle
Acute Angle between Diagonals of Rectangle given Angle between Diagonal and Length
Go Acute Angle between Diagonals of Rectangle = 2*Angle between Diagonal and Length of Rectangle

4 Angles of Rectangle Calculators

Angle between Diagonal and Breadth of Rectangle
Go Angle between Diagonal and Breadth of Rectangle = atan(Length of Rectangle/Breadth of Rectangle)
Angle between Diagonal and Length of Rectangle
Go Angle between Diagonal and Length of Rectangle = atan(Breadth of Rectangle/Length of Rectangle)
Obtuse Angle between Diagonals of Rectangle
Go Obtuse Angle between Diagonals of Rectangle = 2*atan(Length of Rectangle/Breadth of Rectangle)
Acute Angle between Diagonals of Rectangle
Go Acute Angle between Diagonals of Rectangle = 2*atan(Breadth of Rectangle/Length of Rectangle)

Acute Angle between Diagonals of Rectangle Formula

Acute Angle between Diagonals of Rectangle = 2*atan(Breadth of Rectangle/Length of Rectangle)
d(Acute) = 2*atan(b/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.

How to Calculate Acute Angle between Diagonals of Rectangle?

Acute Angle between Diagonals of Rectangle calculator uses Acute Angle between Diagonals of Rectangle = 2*atan(Breadth of Rectangle/Length of Rectangle) to calculate the Acute Angle between Diagonals of Rectangle, Acute Angle between Diagonals of Rectangle formula is defined as the angle made by the diagonals of the Rectangle which is less than 90 degrees. Acute Angle between Diagonals of Rectangle is denoted by d(Acute) symbol.

How to calculate Acute Angle between Diagonals of Rectangle using this online calculator? To use this online calculator for Acute Angle between Diagonals of Rectangle, enter Breadth of Rectangle (b) & Length of Rectangle (l) and hit the calculate button. Here is how the Acute Angle between Diagonals of Rectangle calculation can be explained with given input values -> 4224.979 = 2*atan(6/8).

FAQ

What is Acute Angle between Diagonals of Rectangle?
Acute Angle between Diagonals of Rectangle formula is defined as the angle made by the diagonals of the Rectangle which is less than 90 degrees and is represented as d(Acute) = 2*atan(b/l) or Acute Angle between Diagonals of Rectangle = 2*atan(Breadth of Rectangle/Length of Rectangle). Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides & 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?
Acute Angle between Diagonals of Rectangle formula is defined as the angle made by the diagonals of the Rectangle which is less than 90 degrees is calculated using Acute Angle between Diagonals of Rectangle = 2*atan(Breadth of Rectangle/Length of Rectangle). To calculate Acute Angle between Diagonals of Rectangle, you need Breadth of Rectangle (b) & Length of Rectangle (l). With our tool, you need to enter the respective value for Breadth 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 Breadth of Rectangle & Length of Rectangle. We can use 13 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))
  • Acute Angle between Diagonals of Rectangle = 2*asin(Breadth of Rectangle/(2*Circumradius of Rectangle))
  • Acute Angle between Diagonals of Rectangle = pi-Obtuse Angle between Diagonals of Rectangle
  • Acute Angle between Diagonals of Rectangle = 2*Angle between Diagonal and Length of Rectangle
  • Acute Angle between Diagonals of Rectangle = 2*((pi/2)-Angle between Diagonal and Breadth of Rectangle)
  • Acute Angle between Diagonals of Rectangle = 2*atan((Area of Rectangle/Length of Rectangle)/Length of Rectangle)
  • Acute Angle between Diagonals of Rectangle = 2*atan(Breadth of Rectangle/(Area of Rectangle/Breadth of Rectangle))
  • Acute Angle between Diagonals of Rectangle = 2*atan(((Perimeter of Rectangle/2)-Length of Rectangle)/Length of Rectangle)
  • Acute Angle between Diagonals of Rectangle = 2*atan(Breadth of Rectangle/((Perimeter of Rectangle/2)-Breadth of Rectangle))
  • Acute Angle between Diagonals of Rectangle = 2*acos(Length of Rectangle/Diameter of Circumcircle of Rectangle)
  • Acute Angle between Diagonals of Rectangle = 2*asin(Breadth of Rectangle/Diameter of Circumcircle of Rectangle)
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