Area of Rectangle given Diagonal and Acute Angle between Diagonals Calculator

✖Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.ⓘ Diagonal of Rectangle [d]			+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 [∠_d(Acute)]			+10% -10%

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

⎘ Copy

👎

Formula

✖

Area of Rectangle given Diagonal and Acute Angle between Diagonals

Formula

`"A" = ("d"^2*sin("∠"_{"d(Acute)"}))/2`

Example

`"46.98463m²"=(("10m")^2*sin("70°"))/2`

Calculator

LaTeX

Reset

👍

Download Rectangle Formula PDF

Area of Rectangle given Diagonal and Acute Angle between Diagonals Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Rectangle = (Diagonal of Rectangle^2*sin(Acute Angle between Diagonals of Rectangle))/2
A = (d^2*sin(∠_d(Acute)))/2
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(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.
Diagonal of Rectangle - (Measured in Meter) - Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.
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.

STEP 1: Convert Input(s) to Base Unit

Diagonal of Rectangle: 10 Meter --> 10 Meter No Conversion Required
Acute Angle between Diagonals of Rectangle: 70 Degree --> 1.2217304763958 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (d^2*sin(∠_d(Acute)))/2 --> (10^2*sin(1.2217304763958))/2

Evaluating ... ...

A = 46.9846310392915

STEP 3: Convert Result to Output's Unit

46.9846310392915 Square Meter --> No Conversion Required

FINAL ANSWER

46.9846310392915 ≈ 46.98463 Square Meter <-- Area of Rectangle

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Rectangle » Area of Rectangle » Area of Rectangle given Diagonal and Acute Angle between Diagonals

Credits

Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 600+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< 25 Area of Rectangle Calculators

Area of Rectangle given Circumradius and Angle between Diagonal and Breadth

Go Area of Rectangle = 4*Circumradius of Rectangle^2*sin(Angle between Diagonal and Breadth of Rectangle)*cos(Angle between Diagonal and Breadth of Rectangle)

Area of Rectangle given Circumradius and Angle between Diagonal and Length

Go Area of Rectangle = 4*Circumradius of Rectangle^2*sin(Angle between Diagonal and Length of Rectangle)*cos(Angle between Diagonal and Length of Rectangle)

Area of Rectangle given Circumradius and Acute Angle between Diagonals

Go Area of Rectangle = 4*Circumradius of Rectangle^2*cos(Acute Angle between Diagonals of Rectangle/2)*sin(Acute Angle between Diagonals of Rectangle/2)

Area of Rectangle given Breadth and Diameter of Circumcircle

Go Area of Rectangle = Breadth of Rectangle*sqrt(Diameter of Circumcircle of Rectangle^2-Breadth of Rectangle^2)

Area of Rectangle given Length and Diameter of Circumcircle

Go Area of Rectangle = Length of Rectangle*sqrt(Diameter of Circumcircle of Rectangle^2-Length of Rectangle^2)

Area of Rectangle given Breadth and Circumradius

Go Area of Rectangle = Breadth of Rectangle*sqrt((4*Circumradius of Rectangle^2)-Breadth of Rectangle^2)

Area of Rectangle given Length and Circumradius

Go Area of Rectangle = Length of Rectangle*sqrt((4*Circumradius of Rectangle^2)-Length of Rectangle^2)

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 Diagonal and Angle between Diagonal and Breadth

Go Area of Rectangle = (Diagonal of Rectangle^2*sin(2*Angle between Diagonal and Breadth of Rectangle))/2

Area of Rectangle given Diagonal and Angle between Diagonal and Length

Go Area of Rectangle = (Diagonal of Rectangle^2*sin(2*Angle between Diagonal and Length of Rectangle))/2

Area of Rectangle given Diagonal and Obtuse Angle between Diagonals

Go Area of Rectangle = (Diagonal of Rectangle^2*sin(Obtuse Angle between Diagonals of Rectangle))/2

Area of Rectangle given Perimeter and Breadth

Go Area of Rectangle = ((Perimeter of Rectangle*Breadth of Rectangle)-(2*Breadth of Rectangle^2))/2

Area of Rectangle given Breadth and Angle between Diagonal and Breadth

Go Area of Rectangle = Breadth of Rectangle^2*tan(Angle between Diagonal and Breadth of Rectangle)

Area of Rectangle given Length and Angle between Diagonal and Length

Go Area of Rectangle = Length of Rectangle^2* tan(Angle between Diagonal and Length of Rectangle)

Area of Rectangle given Diagonal and Acute Angle between Diagonals

Go Area of Rectangle = (Diagonal of Rectangle^2*sin(Acute Angle between Diagonals of Rectangle))/2

Area of Rectangle given Length and Angle between Diagonal and Breadth

Go Area of Rectangle = Length of Rectangle^2*cot(Angle between Diagonal and Breadth of Rectangle)

Area of Rectangle given Breadth and Angle between Diagonal and Length

Go Area of Rectangle = Breadth of Rectangle^2*cot(Angle between Diagonal and Length of Rectangle)

Area of Rectangle given Breadth and Acute Angle between Diagonals

Go Area of Rectangle = Breadth of Rectangle^2*cot(Acute Angle between Diagonals 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 given Breadth and Obtuse Angle between Diagonals

Go Area of Rectangle = Breadth of Rectangle^2*tan(Obtuse Angle between Diagonals of Rectangle/2)

Area of Rectangle given Length and Obtuse Angle between Diagonals

Go Area of Rectangle = Length of Rectangle^2*cot(Obtuse Angle between Diagonals of Rectangle/2)

Area of Rectangle given Length and Acute Angle between Diagonals

Go Area of Rectangle = Length of Rectangle^2*tan(Acute Angle between Diagonals of Rectangle/2)

Area of Rectangle given Perimeter and Diagonal

Go Area of Rectangle = ((Perimeter of Rectangle/2)^2-Diagonal of Rectangle^2)/2

Area of Rectangle

Go Area of Rectangle = Length of Rectangle*Breadth of Rectangle

Area of Rectangle given Diagonal and Acute Angle between Diagonals Formula

Area of Rectangle = (Diagonal of Rectangle^2*sin(Acute Angle between Diagonals of Rectangle))/2
A = (d^2*sin(∠_d(Acute)))/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 Diagonal and Acute Angle between Diagonals?

Area of Rectangle given Diagonal and Acute Angle between Diagonals calculator uses Area of Rectangle = (Diagonal of Rectangle^2*sin(Acute Angle between Diagonals of Rectangle))/2 to calculate the Area of Rectangle, Area of Rectangle given Diagonal and Acute Angle between Diagonals is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using diagonal and acute angle between diagonals of the Rectangle. Area of Rectangle is denoted by A symbol.

How to calculate Area of Rectangle given Diagonal and Acute Angle between Diagonals using this online calculator? To use this online calculator for Area of Rectangle given Diagonal and Acute Angle between Diagonals, enter Diagonal of Rectangle (d) & Acute Angle between Diagonals of Rectangle (∠_d(Acute)) and hit the calculate button. Here is how the Area of Rectangle given Diagonal and Acute Angle between Diagonals calculation can be explained with given input values -> 46.98463 = (10^2*sin(1.2217304763958))/2.

FAQ

What is Area of Rectangle given Diagonal and Acute Angle between Diagonals?

Area of Rectangle given Diagonal and Acute Angle between Diagonals is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using diagonal and acute angle between diagonals of the Rectangle and is represented as A = (d^2*sin(∠_d(Acute)))/2 or Area of Rectangle = (Diagonal of Rectangle^2*sin(Acute Angle between Diagonals of Rectangle))/2. Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle & Acute Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is less than 90 degrees.

How to calculate Area of Rectangle given Diagonal and Acute Angle between Diagonals?

Area of Rectangle given Diagonal and Acute Angle between Diagonals is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using diagonal and acute angle between diagonals of the Rectangle is calculated using Area of Rectangle = (Diagonal of Rectangle^2*sin(Acute Angle between Diagonals of Rectangle))/2. To calculate Area of Rectangle given Diagonal and Acute Angle between Diagonals, you need Diagonal of Rectangle (d) & Acute Angle between Diagonals of Rectangle (∠_d(Acute)). With our tool, you need to enter the respective value for Diagonal of Rectangle & Acute 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 Diagonal of Rectangle & Acute Angle between Diagonals of Rectangle. We can use 33 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)
Area of Rectangle = Length of Rectangle*Breadth of Rectangle
Area of Rectangle = ((Perimeter of Rectangle/2)^2-Diagonal of Rectangle^2)/2
Area of Rectangle = Breadth of Rectangle*sqrt(Diameter of Circumcircle of Rectangle^2-Breadth of Rectangle^2)
Area of Rectangle = Breadth of Rectangle*sqrt((4*Circumradius of Rectangle^2)-Breadth of Rectangle^2)
Area of Rectangle = Length of Rectangle*sqrt(Diameter of Circumcircle of Rectangle^2-Length of Rectangle^2)
Area of Rectangle = Length of Rectangle*sqrt((4*Circumradius of Rectangle^2)-Length of Rectangle^2)
Area of Rectangle = ((Perimeter of Rectangle*Breadth of Rectangle)-(2*Breadth of Rectangle^2))/2
Area of Rectangle = (Diagonal of Rectangle^2*sin(Obtuse Angle between Diagonals of Rectangle))/2
Area of Rectangle = Length of Rectangle^2* tan(Angle between Diagonal and Length of Rectangle)
Area of Rectangle = Length of Rectangle^2*cot(Angle between Diagonal and Breadth of Rectangle)
Area of Rectangle = Length of Rectangle^2*tan(Acute Angle between Diagonals of Rectangle/2)
Area of Rectangle = Breadth of Rectangle^2*cot(Angle between Diagonal and Length of Rectangle)
Area of Rectangle = Length of Rectangle^2*cot(Obtuse Angle between Diagonals of Rectangle/2)
Area of Rectangle = Breadth of Rectangle^2*tan(Angle between Diagonal and Breadth of Rectangle)
Area of Rectangle = Breadth of Rectangle^2*cot(Acute Angle between Diagonals of Rectangle/2 )
Area of Rectangle = Breadth of Rectangle^2*tan(Obtuse Angle between Diagonals of Rectangle/2)
Area of Rectangle = (Diagonal of Rectangle^2*sin(2*Angle between Diagonal and Length of Rectangle))/2
Area of Rectangle = (Diagonal of Rectangle^2*sin(2*Angle between Diagonal and Breadth of Rectangle))/2
Area of Rectangle = 4*Circumradius of Rectangle^2*sin(Angle between Diagonal and Length of Rectangle)*cos(Angle between Diagonal and Length of Rectangle)
Area of Rectangle = 4*Circumradius of Rectangle^2*sin(Angle between Diagonal and Breadth of Rectangle)*cos(Angle between Diagonal and Breadth of Rectangle)
Area of Rectangle = 4*Circumradius of Rectangle^2*cos(Acute Angle between Diagonals of Rectangle/2)*sin(Acute Angle between Diagonals of Rectangle/2)
Area of Rectangle = 4*Circumradius of Rectangle^2*cos(Obtuse Angle between Diagonals of Rectangle/2)*sin(Obtuse Angle between Diagonals of Rectangle/2)
Area of Rectangle = Diameter of Circumcircle of Rectangle^2*sin(Angle between Diagonal and Length of Rectangle)*cos(Angle between Diagonal and Length of Rectangle)
Area of Rectangle = Diameter of Circumcircle of Rectangle^2*sin(Angle between Diagonal and Breadth of Rectangle)*cos(Angle between Diagonal and Breadth of Rectangle)
Area of Rectangle = Diameter of Circumcircle of Rectangle^2*sin(Acute Angle between Diagonals of Rectangle/2)*cos(Acute Angle between Diagonals of Rectangle/2)
Area of Rectangle = Diameter of Circumcircle of Rectangle^2*sin(Obtuse Angle between Diagonals of Rectangle/2)*cos(Obtuse Angle between Diagonals of Rectangle/2)
Area of Rectangle = (Perimeter of Rectangle/2)^2/((tan(Angle between Diagonal and Length of Rectangle)+1)*(cot(Angle between Diagonal and Length of Rectangle)+1))
Area of Rectangle = (Perimeter of Rectangle/2)^2/((tan(Angle between Diagonal and Breadth of Rectangle)+1)*(cot(Angle between Diagonal and Breadth of Rectangle)+1))
Area of Rectangle = (Perimeter of Rectangle/2)^2/((tan(Acute Angle between Diagonals of Rectangle/2)+1)*(cot(Acute Angle between Diagonals of Rectangle/2)+1))
Area of Rectangle = (Perimeter of Rectangle/2)^2/((tan(Obtuse Angle between Diagonals of Rectangle/2)+1)*(cot(Obtuse Angle between Diagonals of Rectangle/2)+1))

Home

FREE PDFs

🔍 Search