# Sphere calculation

Description and formulas for the calculation of spheres

## Sphere Definition

• A sphere is an endless number of points equidistant from the centerpoint in a three-dimensional space

• In three-dimensional space, the radius of a sphere is the segment connecting the center to any point on a sphere

• The diameter is the longest distance between two points of the surface $$(2·Radius)$$

## Formulas for sphere calculation

#### Calculate radius $$r$$ of a sphere

$$\displaystyle r=\frac{P}{2π}$$

#### Calculate Diameter $$d$$ of a sphere

$$\displaystyle d=\frac{P}{π}$$

$$\displaystyle d=2· r$$

#### Calculate Perimeter $$P$$ of a sphere

$$\displaystyle P=d·π$$

#### Calculate Surface area $$S$$ of a sphere

$$\displaystyle S=d^2·π$$

$$\displaystyle S=4· r^2·π$$

#### Calculate Volume $$V$$ of a sphere

$$\displaystyle V=\frac{d^3·π}{6}$$

$$\displaystyle V=\frac{4· r^3·π}{3}$$