Algebraic geometry and spheres

Circles

Defining circles

\(x^2 + y^2 = r^2\)

Area of a circle

\(A=\pi r^2\)

Circumference of a circle

\(C=2\pi r\)

Spheres

Defining spheres

\(x^2+y^2+z^2 = r^2\)

Volume of a sphere

\(V=\)

Surface area of a sphere

\(A=\)