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

STEP 0: Pre-Calculation Summary
Formula Used
Area of Rectangle = Length of Rectangle^2*tan(Angle between Diagonal and Length of Rectangle)
A = l^2*tan(dl)
This formula uses 1 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)
Variables Used
Area of Rectangle - (Measured in Square Meter) - Area of Rectangle is the total quantity of plane enclosed by the boundary 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.
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.
STEP 1: Convert Input(s) to Base Unit
Length of Rectangle: 8 Meter --> 8 Meter No Conversion Required
Angle between Diagonal and Length of Rectangle: 35 Degree --> 0.610865238197901 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = l^2*tan(∠dl) --> 8^2*tan(0.610865238197901)
Evaluating ... ...
A = 44.8132824454105
STEP 3: Convert Result to Output's Unit
44.8132824454105 Square Meter --> No Conversion Required
FINAL ANSWER
44.8132824454105 44.81328 Square Meter <-- Area of Rectangle
(Calculation completed in 00.004 seconds)

Credits

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Created by Yashika Gupta
Indian Institute of Technology Mandi (IIT Mandi), Himachal pradesh
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Verified by Jaseem K
IIT Madras (IIT Madras), Chennai
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Area of Rectangle Calculators

Area of Rectangle given Breadth and Diagonal
​ Go Area of Rectangle = Breadth of Rectangle*sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2)
Area of Rectangle given Length and Diagonal
​ Go Area of Rectangle = Length of Rectangle*sqrt(Diagonal of Rectangle^2-Length of Rectangle^2)
Area of Rectangle given Perimeter and Length
​ Go Area of Rectangle = ((Perimeter of Rectangle*Length of Rectangle)-(2*Length of Rectangle^2))/2
Area of Rectangle
​ Go Area of Rectangle = Length of Rectangle*Breadth of Rectangle

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

Area of Rectangle = Length of Rectangle^2*tan(Angle between Diagonal and Length of Rectangle)
A = l^2*tan(dl)

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 Area of Rectangle given Length and Angle between Diagonal and Length?

Area of Rectangle given Length and Angle between Diagonal and Length calculator uses Area of Rectangle = Length of Rectangle^2*tan(Angle between Diagonal and Length of Rectangle) to calculate the Area of Rectangle, The Area of Rectangle given Length and Angle between Diagonal and Length formula is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using length and angle between diagonal and length of the Rectangle. Area of Rectangle is denoted by A symbol.

How to calculate Area of Rectangle given Length and Angle between Diagonal and Length using this online calculator? To use this online calculator for Area of Rectangle given Length and Angle between Diagonal and Length, enter Length of Rectangle (l) & Angle between Diagonal and Length of Rectangle (∠dl) and hit the calculate button. Here is how the Area of Rectangle given Length and Angle between Diagonal and Length calculation can be explained with given input values -> 44.81328 = 8^2*tan(0.610865238197901).

FAQ

What is Area of Rectangle given Length and Angle between Diagonal and Length?
The Area of Rectangle given Length and Angle between Diagonal and Length formula is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using length and angle between diagonal and length of the Rectangle and is represented as A = l^2*tan(∠dl) or Area of Rectangle = Length of Rectangle^2*tan(Angle between Diagonal and Length of Rectangle). Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides & 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.
How to calculate Area of Rectangle given Length and Angle between Diagonal and Length?
The Area of Rectangle given Length and Angle between Diagonal and Length formula is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using length and angle between diagonal and length of the Rectangle is calculated using Area of Rectangle = Length of Rectangle^2*tan(Angle between Diagonal and Length of Rectangle). To calculate Area of Rectangle given Length and Angle between Diagonal and Length, you need Length of Rectangle (l) & Angle between Diagonal and Length of Rectangle (∠dl). With our tool, you need to enter the respective value for Length of Rectangle & Angle between Diagonal and 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 Area of Rectangle?
In this formula, Area of Rectangle uses Length of Rectangle & Angle between Diagonal and Length of Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Area of Rectangle = Breadth of Rectangle*sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2)
  • Area of Rectangle = ((Perimeter of Rectangle*Length of Rectangle)-(2*Length of Rectangle^2))/2
  • Area of Rectangle = Length of Rectangle*sqrt(Diagonal of Rectangle^2-Length of Rectangle^2)
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