## Area of Rhombus Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Rhombus = Side of Rhombus^2*sin(Acute Angle of Rhombus)
A = S^2*sin(Acute)
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 Rhombus - (Measured in Square Meter) - Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus.
Side of Rhombus - (Measured in Meter) - The Side of Rhombus is the length of any of the four edges.
Acute Angle of Rhombus - (Measured in Radian) - Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.
STEP 1: Convert Input(s) to Base Unit
Side of Rhombus: 10 Meter --> 10 Meter No Conversion Required
Acute Angle of Rhombus: 45 Degree --> 0.785398163397301 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = S^2*sin(∠Acute) --> 10^2*sin(0.785398163397301)
Evaluating ... ...
A = 70.7106781186443
STEP 3: Convert Result to Output's Unit
70.7106781186443 Square Meter --> No Conversion Required
70.7106781186443 70.71068 Square Meter <-- Area of Rhombus
(Calculation completed in 00.004 seconds)
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Indian Institute of Technology (IIT), Roorkee
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## <Area of Rhombus Calculators

Area of Rhombus given Inradius and Obtuse Angle
​ Go Area of Rhombus = (4*Inradius of Rhombus^2)/sin(Obtuse Angle of Rhombus)
Area of Rhombus
​ Go Area of Rhombus = Side of Rhombus^2*sin(Acute Angle of Rhombus)
​ Go Area of Rhombus = 2*Side of Rhombus*Inradius of Rhombus
Area of Rhombus given Height
​ Go Area of Rhombus = Side of Rhombus*Height of Rhombus

## <Area of Rhombus Calculators

Area of Rhombus
​ Go Area of Rhombus = Side of Rhombus^2*sin(Acute Angle of Rhombus)
Area of Rhombus given Both Diagonals
​ Go Area of Rhombus = (Long Diagonal of Rhombus*Short Diagonal of Rhombus)/2
​ Go Area of Rhombus = 2*Side of Rhombus*Inradius of Rhombus
Area of Rhombus given Height
​ Go Area of Rhombus = Side of Rhombus*Height of Rhombus

## Area of Rhombus Formula

Area of Rhombus = Side of Rhombus^2*sin(Acute Angle of Rhombus)
A = S^2*sin(Acute)

## What is Rhombus?

A Rhombus is a special case of a parallelogram. In a Rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a Rhombus are equal in length, and the diagonals bisect each other at right angles. The rhombus is also called a diamond or Rhombus diamond. The plural form of a Rhombus is Rhombi or Rhombuses.

## How to Calculate Area of Rhombus?

Area of Rhombus calculator uses Area of Rhombus = Side of Rhombus^2*sin(Acute Angle of Rhombus) to calculate the Area of Rhombus, Area of Rhombus is be defined as the amount of 2-dimensional space inside the boundary of a Rhombus. Area of Rhombus is denoted by A symbol.

How to calculate Area of Rhombus using this online calculator? To use this online calculator for Area of Rhombus, enter Side of Rhombus (S) & Acute Angle of Rhombus (∠Acute) and hit the calculate button. Here is how the Area of Rhombus calculation can be explained with given input values -> 70.71068 = 10^2*sin(0.785398163397301).

### FAQ

What is Area of Rhombus?
Area of Rhombus is be defined as the amount of 2-dimensional space inside the boundary of a Rhombus and is represented as A = S^2*sin(∠Acute) or Area of Rhombus = Side of Rhombus^2*sin(Acute Angle of Rhombus). The Side of Rhombus is the length of any of the four edges & Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.
How to calculate Area of Rhombus?
Area of Rhombus is be defined as the amount of 2-dimensional space inside the boundary of a Rhombus is calculated using Area of Rhombus = Side of Rhombus^2*sin(Acute Angle of Rhombus). To calculate Area of Rhombus, you need Side of Rhombus (S) & Acute Angle of Rhombus (∠Acute). With our tool, you need to enter the respective value for Side of Rhombus & Acute Angle of Rhombus 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 Rhombus?
In this formula, Area of Rhombus uses Side of Rhombus & Acute Angle of Rhombus. We can use 3 other way(s) to calculate the same, which is/are as follows -
• Area of Rhombus = 2*Side of Rhombus*Inradius of Rhombus
• Area of Rhombus = (4*Inradius of Rhombus^2)/sin(Obtuse Angle of Rhombus)
• Area of Rhombus = Side of Rhombus*Height of Rhombus
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