Area of Hemisphere

Definition :

A hemisphere is the half part of a sphere. We can find many of the real-life examples of the hemispheres such as our planet Earth can be divided into two segments the southern & northern hemispheres and much more. In the case of the hemispheres, we primarily find out the curved surface area and the total surface area.

The area of the outer portion is constituted as the curved surface area while the total surface area is obtained by addition of curved surface area and the area of the upper circle of the hemisphere.

The Hemispheres can either be of a Solid type or can be Hollow.

Area of Hemisphere Formulae:

Curved surface area of hemisphere =  \(2 \pi r^{2}\)

 As the Hemisphere is the half part of a sphere, therefore, the curved surface area is also half that of the sphere.

Total surface area of the hemisphere– While calculating the total surface area of a hemisphere, we need to consider the base of the hemisphere which is circular in shape. Thus the total surface area of a hemisphere is equal to

total surface area= curved surface area + area of the base circle

= \( 2 \pi r^{2} + \pi r^{2}\)

= \( 3 \pi r^{2} \)

Area of Hollow Hemisphere = Area of External Hemisphere – Area of Internal Hemisphere

Real Life Examples of Hemisphere:


Coconut shells