Surface Area of Hemisphere Calculator



Formula

The formula to calculate the surface area of a hemisphere is:

\[ SA = 2\pi r^2 + \pi r^2 = 3\pi r^2 \]

Where:

What is Surface Area of Hemisphere?

The surface area of a hemisphere refers to the total area that the surface of a hemisphere covers. A hemisphere is half of a sphere, cut along the diameter, so it includes both the curved part and the flat circular base. The formula to calculate the surface area of a hemisphere is 3πr², where r is the radius of the hemisphere. This formula is derived from the formula for the surface area of a sphere, which is 4πr², but since a hemisphere is half of a sphere, we take half of that formula and add the area of the base (πr²), resulting in 3πr². This measurement is typically used in mathematical and scientific contexts, particularly in geometry and physics.

Example Calculation

Let's assume the following value:

Step 1: Calculate the square of the radius:

\[ 5^2 = 25 \]

Step 2: Multiply the result by 3π:

\[ 3\pi \times 25 \approx 3 \times 3.14159 \times 25 = 235.62 \]

The Surface Area (SA) is approximately 235.62 square units.