Inradius of Rhombus given Area and Side Calculator

Calculate Inradius





Formula

The formula to calculate the Inradius of a Rhombus given its area and side is:

\[ r_i = \frac{A}{2 \cdot S} \]

Definition

The Inradius of a Rhombus is the radius of the circle which is inscribed inside the rhombus. The area of the rhombus is the amount of two-dimensional space occupied by the rhombus. The side of the rhombus is the length of any of its four edges.

Example Calculation

Let's assume the following values:

Using the formula:

\[ r_i = \frac{70}{2 \cdot 10} \approx 3.5 \, \text{meters} \]

The Inradius of the Rhombus is approximately 3.5 meters.

Conversion Chart

Area (square meters) Side (meters) Inradius (meters)
60 10 3.000000000000000
62 10 3.100000000000000
64 10 3.200000000000000
66 10 3.300000000000000
68 10 3.400000000000000
70 10 3.500000000000000
72 10 3.600000000000000
74 10 3.700000000000000
76 10 3.800000000000000
78 10 3.900000000000000
80 10 4.000000000000000