Area of Rectangle given Length and Obtuse Angle between Diagonals 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%
✖Obtuse Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is greater than 90 degrees.ⓘ Obtuse Angle between Diagonals of Rectangle [∠_d(Obtuse)]			+10% -10%

✖Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.ⓘ Area of Rectangle given Length and Obtuse Angle between Diagonals [A]

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Formula

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Area of Rectangle given Length and Obtuse Angle between Diagonals

Formula

A = l^{2} \cdot \cot (\frac{∠ d(Obtuse)}{2})

Example

44.81328 m² = {8 m}^{2} \cdot \cot (\frac{110 °}{2})

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Area of Rectangle given Length and Obtuse Angle between Diagonals Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Rectangle = Length of Rectangle^2*cot(Obtuse Angle between Diagonals of Rectangle/2)
A = l^2*cot(∠_d(Obtuse)/2)
This formula uses 1 Functions, 3 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(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.
Obtuse Angle between Diagonals of Rectangle - (Measured in Radian) - Obtuse Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is greater than 90 degrees.

STEP 1: Convert Input(s) to Base Unit

Length of Rectangle: 8 Meter --> 8 Meter No Conversion Required
Obtuse Angle between Diagonals of Rectangle: 110 Degree --> 1.9198621771934 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = l^2*cot(∠_d(Obtuse)/2) --> 8^2*cot(1.9198621771934/2)

Evaluating ... ...

A = 44.8132824454387

STEP 3: Convert Result to Output's Unit

44.8132824454387 Square Meter --> No Conversion Required

FINAL ANSWER

44.8132824454387 ≈ 44.81328 Square Meter <-- Area of Rectangle

(Calculation completed in 00.004 seconds)

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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 Obtuse Angle between Diagonals Formula

Area of Rectangle = Length of Rectangle^2*cot(Obtuse Angle between Diagonals of Rectangle/2)
A = l^2*cot(∠_d(Obtuse)/2)

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 Obtuse Angle between Diagonals?

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

How to calculate Area of Rectangle given Length and Obtuse Angle between Diagonals using this online calculator? To use this online calculator for Area of Rectangle given Length and Obtuse Angle between Diagonals, enter Length of Rectangle (l) & Obtuse Angle between Diagonals of Rectangle (∠_d(Obtuse)) and hit the calculate button. Here is how the Area of Rectangle given Length and Obtuse Angle between Diagonals calculation can be explained with given input values -> 44.81328 = 8^2*cot(1.9198621771934/2).

FAQ

What is Area of Rectangle given Length and Obtuse Angle between Diagonals?

The Area of Rectangle given Length and Obtuse Angle between Diagonals formula is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using length and obtuse angle between diagonals of the Rectangle and is represented as A = l^2*cot(∠_d(Obtuse)/2) or Area of Rectangle = Length of Rectangle^2*cot(Obtuse Angle between Diagonals of Rectangle/2). Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides & Obtuse Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is greater than 90 degrees.

How to calculate Area of Rectangle given Length and Obtuse Angle between Diagonals?

The Area of Rectangle given Length and Obtuse Angle between Diagonals formula is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using length and obtuse angle between diagonals of the Rectangle is calculated using Area of Rectangle = Length of Rectangle^2*cot(Obtuse Angle between Diagonals of Rectangle/2). To calculate Area of Rectangle given Length and Obtuse Angle between Diagonals, you need Length of Rectangle (l) & Obtuse Angle between Diagonals of Rectangle (∠_d(Obtuse)). With our tool, you need to enter the respective value for Length of Rectangle & Obtuse Angle between Diagonals 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 & Obtuse Angle between Diagonals 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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