This surface area of a sphere calculator will figure out the surface area of any sphere given the radius, the diameter, the circumference, or the volume of the sphere.

### Terminology

- "Sphere" - A three dimensional object contained by a surface that has all points at the same distance from the center. Basically, it's something that has a perfectly round ball shape.

- "Surface Area" - The total area occupied by the surface of a three dimensional object. It is expressed in square units of measurement, for example square feet, square meters, square inches, square yards, etc.

- "Volume" - The amount of space occupied by a three dimensional object. It is expressed in cubic units of measurement, for example cubic feet, cubic meters, cubic inches, cubic yards, etc.

- "Circumference" - If you a cut a sphere in half, the circumference would be the distance around the outside edge of the cut surface.

- "Diameter" - The distance of a straight line that extends from any point on the surface of the sphere to the surface point directly opposite, while passing through the center of the sphere.

- "Radius" - The distance of a straight line that extends from the center of the sphere to any point on the surface of the sphere.

### Calculating the Surface Area of a Sphere Using Radius

If you know the radius of a sphere, you can calculate the surface area based on the following formula:

A = 4 ϖ r^{2}

where

A = Surface Area

ϖ = Pi = 3.14159265...

r = Radius

### Calculating the Surface Area of a Sphere Using Diameter

If you know the diameter of a sphere, you can calculate the surface area based on the following formula:

A = ϖ d^{2}

where

A = Surface Area

ϖ = Pi = 3.14159265...

d = Diameter

### Calculating the Surface Area of a Sphere Using Circumference

If you know the circumference of a sphere, you can calculate the surface area based on the following formula:

A = C^{2} / ϖ

where

A = Surface Area

ϖ = Pi = 3.14159265...

C = Circumference

### Calculating the Surface Area of a Sphere Using Volume

If you know the volume of a sphere, you can calculate the surface area based on the following formula:

A = ϖ^{1 / 3} (6V)^{2 / 3}

where

V = Volume

ϖ = Pi = 3.14159265...

A = Surface Area