Area of a Hemisphere Calculator
Result
Area of a Hemisphere Calculator Find the total surface area of a hemisphere from its radius. A solid hemisphere has a curved surface of 2πr² plus a flat circular base of πr², so the total surface area is 3πr². Enter the radius and you get both the curved — free online calculator.
Formula
- Enter the specified values using consistent units. The calculator applies the displayed formula; input assumptions and units are stated beside each field.
- The main inputs are Radius. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Area of a Hemisphere
- Radius: 5
Example inputs: Radius = 5. Calculated result: Total surface area (square units): 235.61944902.
Sample result: Calculating…
Frequently asked questions
What does the Area of a Hemisphere calculate?
Total surface area includes the curved surface and the circular base.
Which values should I enter?
Enter Radius using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Total surface area of solid hemisphere = 3πr².
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.