Use this geometry calculation when the shape, dimensions, coordinate system, and units match the stated ideal Euclidean model.

Radius

Required number input.

Compute surface area of a sphere as 4*pi*r^2. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Surface area

The resulting surface area returned as a number.

• The result assumes exact idealized geometry. Measurement uncertainty, rounded inputs, nonplanarity, self-intersection, thickness, curved coordinate systems, and ambiguous dimension definitions are not automatically represented.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Sketch and label the dimensions, verify unit consistency, and use coordinate or CAD methods for irregular measured shapes.

• 3D Shape Surface Area Calculator

  Calculate total exterior surface area for common three-dimensional shapes, using the Knud Thomsen approximation for ellipsoids.

• Annulus Area Calculator

  Calculate the area of an annulus from its outer and inner radii as π(R²−r²).

• Circle Calculator

  Calculate a circle's radius, diameter, circumference, and area from one known measurement.