spherical coordinate: meaning, definition, pronunciation and examples

No. Polar coordinates are a two-dimensional system (radius and angle). Spherical coordinates are the three-dimensional extension, adding a second angle to define a point on a sphere.

The most common convention is (r, θ, φ), where r is the radial distance, θ (theta) is the polar angle (from the positive z-axis), and φ (phi) is the azimuthal angle (in the xy-plane from the positive x-axis). Note: in physics and mathematics, the roles of θ and φ are sometimes swapped.

They are essential in fields dealing with spherical symmetry or radiation: astronomy (celestial coordinates), physics (solving equations for atoms or electromagnetic fields), computer graphics (environment mapping, lighting), and global positioning (latitude/longitude is a type of spherical coordinate).

The formulas are: r = √(x² + y² + z²), θ = arccos(z / r), and φ = arctan2(y, x). It's crucial to mind the domains: r ≥ 0, 0 ≤ θ ≤ π, 0 ≤ φ < 2π.

One of a set of three numbers (typically radius, polar angle, and azimuthal angle) used to locate a point in three-dimensional space relative to a fixed origin.

Spherical coordinate is usually technical/scientific in register.

Spherical coordinate: in British English it is pronounced /ˈsfɛrɪkəl kəʊˈɔːdɪnət/, and in American English it is pronounced /ˈsfɪrɪkəl koʊˈɔrdənət/. Tap the audio buttons above to hear it.