Radius Small Circle: Measurement & More

[Albert1]

View attachment 3046

 

[chisigma]

[sp]Let suppose that the side of the square is 2. In this case, if x is the radius of the 'small circle', for the theorem of Pythagoras it must be...

$\displaystyle (1-x)^{2} + 1 = (1+x)^{2}$

... so that is $\displaystyle x = \frac{1}{4}$...[/sp]

Kind regards

$\chi$ $\sigma$

 

[RLBrown]

hint:

Spoiler

see Ford Circles

 

[Albert1]

[sp]Let suppose that the side of the square is 2. In this case, if x is the radius of the 'small circle', for the theorem of Pythagoras it must be...

$\displaystyle (1-x)^{2} + 1 = (1+x)^{2}$

... so that is $\displaystyle x = \frac{1}{4}$...[/sp]

Kind regards

$\chi$ $\sigma$

very good solution !

 

[CellCoree]

I can provide a technical explanation of the concept of radius and its role in measuring small circles. Radius is a fundamental geometric property that refers to the distance from the center of a circle to its outer edge. In the case of a small circle, the radius would be relatively short compared to larger circles.

The measurement of a small circle's radius is crucial in determining its size and shape. It allows us to calculate its circumference, area, and other important parameters. This information is essential in various fields of science, including mathematics, physics, and engineering.

Furthermore, the concept of radius also plays a significant role in understanding the behavior of small circles. For example, in the study of planetary orbits, the radius of a planet's circular orbit is a crucial factor in determining its speed and trajectory.

In addition to its scientific significance, the concept of radius also has practical applications in everyday life. For instance, when measuring the size of a pizza, the radius is used to determine its area and, ultimately, its price.

In conclusion, the measurement of small circle radius is a fundamental aspect of geometry that has both theoretical and practical implications in various fields. Its role in understanding and quantifying the properties of small circles makes it a crucial concept in the scientific world.