Side of Rhombus given Inradius Calculator

✖The Inradius of Rhombus is defined as the radius of the circle which is inscribed inside the Rhombus.ⓘ Inradius of Rhombus [r_i]			+10% -10%
✖Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.ⓘ Acute Angle of Rhombus [∠_Acute]			+10% -10%

✖The Side of Rhombus is the length of any of the four edges.ⓘ Side of Rhombus given Inradius [S]

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Side of Rhombus given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus)
S = (2*r_i)/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

Side of Rhombus - (Measured in Meter) - The Side of Rhombus is the length of any of the four edges.
Inradius of Rhombus - (Measured in Meter) - The Inradius of Rhombus is defined as the radius of the circle which is inscribed inside 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

Inradius of Rhombus: 3 Meter --> 3 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

S = (2*r_i)/sin(∠_Acute) --> (2*3)/sin(0.785398163397301)

Evaluating ... ...

S = 8.48528137423982

STEP 3: Convert Result to Output's Unit

8.48528137423982 Meter --> No Conversion Required

FINAL ANSWER

8.48528137423982 ≈ 8.485281 Meter <-- Side of Rhombus

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Side of Rhombus Calculators

Side of Rhombus given Area

LaTeX Go Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))

Side of Rhombus given Short Diagonal and Obtuse Angle

LaTeX Go Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2))

Side of Rhombus given Short Diagonal

LaTeX Go Side of Rhombus = Short Diagonal of Rhombus/(2*sin(Acute Angle of Rhombus/2))

Side of Rhombus given Perimeter

LaTeX Go Side of Rhombus = Perimeter of Rhombus/4

Side of Rhombus given Inradius Formula

LaTeX Go

Side of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus)
S = (2*r_i)/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 Side of Rhombus given Inradius?

Side of Rhombus given Inradius calculator uses Side of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus) to calculate the Side of Rhombus, The Side of Rhombus given Inradius formula is defined as the length of the line segment that joins two adjacent vertices of the Rhombus, calculated using the inradius of the Rhombus. Side of Rhombus is denoted by S symbol.

How to calculate Side of Rhombus given Inradius using this online calculator? To use this online calculator for Side of Rhombus given Inradius, enter Inradius of Rhombus (r_i) & Acute Angle of Rhombus (∠_Acute) and hit the calculate button. Here is how the Side of Rhombus given Inradius calculation can be explained with given input values -> 8.485281 = (2*3)/sin(0.785398163397301).

FAQ

What is Side of Rhombus given Inradius?

The Side of Rhombus given Inradius formula is defined as the length of the line segment that joins two adjacent vertices of the Rhombus, calculated using the inradius of the Rhombus and is represented as S = (2*r_i)/sin(∠_Acute) or Side of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus). The Inradius of Rhombus is defined as the radius of the circle which is inscribed inside the Rhombus & Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.

How to calculate Side of Rhombus given Inradius?

The Side of Rhombus given Inradius formula is defined as the length of the line segment that joins two adjacent vertices of the Rhombus, calculated using the inradius of the Rhombus is calculated using Side of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus). To calculate Side of Rhombus given Inradius, you need Inradius of Rhombus (r_i) & Acute Angle of Rhombus (∠_Acute). With our tool, you need to enter the respective value for Inradius 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 Side of Rhombus?

In this formula, Side of Rhombus uses Inradius of Rhombus & Acute Angle of Rhombus. We can use 3 other way(s) to calculate the same, which is/are as follows -

Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))
Side of Rhombus = Perimeter of Rhombus/4
Side of Rhombus = Short Diagonal of Rhombus/(2*sin(Acute Angle of Rhombus/2))

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