Formula: Sphere Area Radius
$$A ~=~ 4\pi \, \class{red}{r}^2$$
$$A ~=~ 4\pi \, \class{red}{r}^2$$
$$\class{red}{r} ~=~ \sqrt{ \frac{A}{4\pi} }$$
Area
$$ A $$ Unit $$ \mathrm{m}^2 $$
Surface area of the sphere with radius \(r\). For example, if the radius is \( r = 1 \, \text{m} \), then the surface area is:
$$ A ~=~ 4\pi \,\cdot\, (1 \, \text{m})^2 ~\approx~ 12.7 \, \text{m}^2$$
Alternatively, the surface area of the sphere can be expressed with the diameter \( d = 2r\): \[ A ~=~ \pi \, d^2 \]
Radius
$$ \class{red}{r} $$ Unit $$ \mathrm{m} $$
Radius of the sphere.
Pi
$$ \pi $$ Unit $$ - $$
Pi is a mathematical constant and has the value \( \pi ~=~ 3.1415926... \)