Egységsugárú

Egységsugárú is a Hungarian term that translates to "unit radius" in English. It refers to a circle or sphere with a radius of one unit. This unit can be any standard measure of length, such as meters, centimeters, or inches, depending on the context of the problem. The concept of a unit radius is fundamental in various fields of mathematics and physics, particularly in trigonometry and geometry.

In trigonometry, the unit circle is a circle with a radius of one centered at the origin of a Cartesian coordinate system. Points on the unit circle are often represented by their coordinates (cos θ, sin θ), where θ is the angle measured counterclockwise from the positive x-axis. This representation simplifies many trigonometric identities and calculations.

In geometry, a unit sphere is a sphere with a radius of one. Its surface area is 4π square units, and its volume is (4/3)π cubic units. The unit sphere is a crucial concept in higher-dimensional geometry and in fields like physics, especially in the study of spherical coordinates and distributions. The term "egységsugárú" emphasizes the specific value of the radius being one, making it a standard reference for comparisons and calculations.