jarijari

Jarijari, commonly written as jari-jari, is the radius of a circle. It is the distance from the center of the circle to any point on its circumference. The radius is constant for a given circle and is typically denoted by the symbol r.

In a circle with radius r, several basic relationships hold. The diameter d is twice the radius: d = 2r. The circumference, the length around the circle, is C = 2πr. The area enclosed by the circle is A = πr^2. These formulas are fundamental in geometry and are used across mathematics and applied fields.

The radius can be determined from other measurements. If the diameter is known, r = d/2. If the circumference is known, r = C/(2π). If the area is known, r = sqrt(A/π). The radius shares the same units as the circle’s measurements, so if r is measured in meters, the circumference and area will be in meters, square meters, etc.

The concept of jarijari extends to three-dimensional figures through the same idea of distance from a center. For a sphere, the radius r defines its volume V = (4/3)πr^3 and surface area S = 4πr^2. The term is central in geometry education and appears in various practical contexts, including design, engineering, and physics.