Enter the radius into the calculator to determine the surface area of the hemisphere; this calculator can also evaluate the radius given the surface area is known.
Surface Area Of Hemisphere Formula
The following formula is used to calculate the surface area of a hemisphere:
SA = 2πr^2 + πr^2
Variables:
- SA is the surface area of the hemisphere
- r is the radius of the hemisphere
To calculate the surface area of a hemisphere, multiply the square of the radius by 2π and add the square of the radius multiplied by π.
What is a 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.
How to Calculate Surface Area Of Hemisphere?
The following steps outline how to calculate the Surface Area of a Hemisphere.
- First, determine the radius of the hemisphere (r).
- Next, calculate the surface area using the formula SA = 2πr^2 + πr^2.
- Finally, calculate the Surface Area of the Hemisphere.
- After inserting the radius and calculating the result, check your answer with a calculator.
Example Problem:
Use the following variables as an example problem to test your knowledge.
radius (r) = 5
