The formula to calculate the Inradius of a Square given its circumradius is:
\[ \text{Inradius} = \frac{\text{Circumradius}}{\sqrt{2}} \]
The Inradius of a Square is the radius of the incircle of the square, or the circle contained by the square with all the edges of the square touching the circle. The Circumradius of a Square is the radius of the circumcircle of the square, or the circle which contains the square with all the vertices of the square lying on the circle.
Let's assume the following value:
Using the formula:
\[ \text{Inradius} = \frac{7}{\sqrt{2}} \approx 4.94974746830583 \, \text{meters} \]
The Inradius of the Square is approximately 4.94974746830583 meters.
| Circumradius (meters) | Inradius (meters) |
|---|---|
| 6 | 4.242640687119285 |
| 6.5 | 4.596194077712559 |
| 7 | 4.949747468305833 |
| 7.5 | 5.303300858899106 |
| 8 | 5.656854249492380 |