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Curved Surface Area of a Hemisphere
Curved surface area is the dome-shaped exterior of a hemisphere without the flat circular base.

Blog
Curved surface area is the dome-shaped exterior of a hemisphere without the flat circular base.

CSA = 2πr².
Formula
Surface Area of a Hemisphere Calculator labels this value as Curved surface area and uses CSA = 2πr².
Textbooks also call it lateral area of the spherical cap or simply the curved part of a hemisphere.
This article focuses only on that shell so you do not add the base when a problem excludes it.
Curved surface area covers the exterior of the spherical portion only. It stops at the rim of the flat cut.
Dome cladding, reflective insulation on caps, and planetarium panels often quote this value because the base contacts another structure.
In geometry class, curved area tests whether you know the difference between cap and base.
Compare with a full sphere in the hemisphere versus sphere guide when a problem mixes both shapes on one worksheet.
A full sphere has outer area 4πr². The hemisphere cap keeps half of that shell, giving 2πr².
πr² is only the flat base. Using it for the cap is a frequent mistake on timed tests.
When the task later asks for the full exterior, move to total surface area of a hemisphere and add πr² to your cap result.
r = 8 m: CSA = 2π(64) = 128π ≈ 402.12 m² for the dome skin.
r = 1.5 ft: CSA = 2π(2.25) ≈ 14.14 ft² for a small display model.
If a spec lists TSA = 120 m² and you need only the cap, subtract the base πr² after you know r, rather than guessing.
Use 2πr² when only the dome counts. Add the base only when total exterior area is required.