## Inradius of Rhombus given Area and Acute Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inradius of Rhombus = sqrt(Area of Rhombus*sin(Acute Angle of Rhombus))/2
ri = sqrt(A*sin(Acute))/2
This formula uses 2 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Inradius of Rhombus - (Measured in Meter) - The Inradius of Rhombus is defined as the radius of the circle which is inscribed inside the Rhombus.
Area of Rhombus - (Measured in Square Meter) - Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus.
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
Area of Rhombus: 70 Square Meter --> 70 Square 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
ri = sqrt(A*sin(∠Acute))/2 --> sqrt(70*sin(0.785398163397301))/2
Evaluating ... ...
ri = 3.51772208549265
STEP 3: Convert Result to Output's Unit
3.51772208549265 Meter --> No Conversion Required
3.51772208549265 3.517722 Meter <-- Inradius of Rhombus
(Calculation completed in 00.004 seconds)
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Inradius of Rhombus given both Diagonals
​ Go Inradius of Rhombus = (Long Diagonal of Rhombus*Short Diagonal of Rhombus)/(2*sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))
Inradius of Rhombus given Area and Acute Angle
​ Go Inradius of Rhombus = sqrt(Area of Rhombus*sin(Acute Angle of Rhombus))/2
​ Go Inradius of Rhombus = (Side of Rhombus*sin(Acute Angle of Rhombus))/2
Inradius of Rhombus given Area and Side
​ Go Inradius of Rhombus = Area of Rhombus/(2*Side of Rhombus)

## Inradius of Rhombus given Area and Acute Angle Formula

Inradius of Rhombus = sqrt(Area of Rhombus*sin(Acute Angle of Rhombus))/2
ri = sqrt(A*sin(Acute))/2

## What is a 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 Inradius of Rhombus given Area and Acute Angle?

Inradius of Rhombus given Area and Acute Angle calculator uses Inradius of Rhombus = sqrt(Area of Rhombus*sin(Acute Angle of Rhombus))/2 to calculate the Inradius of Rhombus, Inradius of Rhombus given Area and Acute Angle can be defined as the radius of the circle inscribed inside the Rhombus, calculated using the area and acute angle of the Rhombus. Inradius of Rhombus is denoted by ri symbol.

How to calculate Inradius of Rhombus given Area and Acute Angle using this online calculator? To use this online calculator for Inradius of Rhombus given Area and Acute Angle, enter Area of Rhombus (A) & Acute Angle of Rhombus (∠Acute) and hit the calculate button. Here is how the Inradius of Rhombus given Area and Acute Angle calculation can be explained with given input values -> 3.517722 = sqrt(70*sin(0.785398163397301))/2.

### FAQ

What is Inradius of Rhombus given Area and Acute Angle?
Inradius of Rhombus given Area and Acute Angle can be defined as the radius of the circle inscribed inside the Rhombus, calculated using the area and acute angle of the Rhombus and is represented as ri = sqrt(A*sin(∠Acute))/2 or Inradius of Rhombus = sqrt(Area of Rhombus*sin(Acute Angle of Rhombus))/2. Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus & Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.
How to calculate Inradius of Rhombus given Area and Acute Angle?
Inradius of Rhombus given Area and Acute Angle can be defined as the radius of the circle inscribed inside the Rhombus, calculated using the area and acute angle of the Rhombus is calculated using Inradius of Rhombus = sqrt(Area of Rhombus*sin(Acute Angle of Rhombus))/2. To calculate Inradius of Rhombus given Area and Acute Angle, you need Area of Rhombus (A) & Acute Angle of Rhombus (∠Acute). With our tool, you need to enter the respective value for Area 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 Inradius of Rhombus?
In this formula, Inradius of Rhombus uses Area of Rhombus & Acute Angle of Rhombus. We can use 3 other way(s) to calculate the same, which is/are as follows -
• Inradius of Rhombus = Area of Rhombus/(2*Side of Rhombus)
• Inradius of Rhombus = (Long Diagonal of Rhombus*Short Diagonal of Rhombus)/(2*sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))
• Inradius of Rhombus = (Side of Rhombus*sin(Acute Angle of Rhombus))/2
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