CALCULATOR
Right Circular Cone Total Surface Area Calculator
Find curved surface plus circular base. Example: Radius: 2 m, Perpendicular height: 2 m gives 30.337902367 m². Right circular cone; height is perpendicular to its circular base. Closed right circular cone; includes base. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.
Right circular cone; height is perpendicular to its circular base. Closed right circular cone; includes base. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Pythagorean slant height; sector curved surface πrℓ plus base πr².
Accepted inputs: Radius: 0.001 to 1,000 m; Perpendicular height: 0.001 to 1,000 m.
How the calculation works
A = πr(r + √(r²+h²))
Worked example
With radius 2 m, perpendicular height 2 m, curved surface plus circular base is 30.33790237 m².
Assumptions and limits
Right circular cone; height is perpendicular to its circular base. Closed right circular cone; includes base. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Pythagorean slant height; sector curved surface πrℓ plus base πr².