Equation of a Sphere
What is shape of sphere?
A sphere is a perfectly round three-dimensional shape.
What is equation of Sphere?
Equation of a sphere in three-dimensional space with center coordinates (0, 0, 0) and radius “r” is:
x2 + y2 + z2 = r2
Write general equation of sphere.
The general equation of a sphere in three-dimensional space is represented by the equation:
(x – h)2 + (y – k)2 + (z – l)2 = r2
Write parametric equation of sphere.
The parametric equations of a sphere in can be expressed as:
x = h + r × sin(θ) × cos(φ),
y = k + r × sin(θ) × sin(φ), and
z = l + r × cos(θ)
What is surface area of sphere?
Surface are of sphere with radius “r” is: Area = 4πr2
Equation of a Sphere
The equation of a sphere defines all points equidistant from its center, given by (x – h)² + (y – k)² + (z – l)² = r², where (h, k, l) is the center and r is the radius. This article provides an in-depth exploration of the equation of a sphere, its properties, applications, and related concepts.
Table of Content
- What is Sphere?
- Equation of Sphere
- General Equation of Sphere
- Parametric Equations of a Sphere
- Geometrical Interpretation of the Equation of a Sphere
- Some other Equations of Sphere
- Surface Area Equation of Sphere
- Volume Equation of Sphere
- Derivation of Equation of Sphere
- Applications of the Equation of a Sphere
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