Area of Hemisphere

Introduction:

In general, a hemisphere refers to half of the world, such as the northern or southern hemisphere. In geometry, however, a hemisphere is a three-dimensional shape formed by splitting a sphere into two equal halves, each with one flat side. In real life, we come across a variety of hemisphere-shaped things. For example, cutting a cherry in half yields a hemisphere-shaped cherry, while cutting a grapefruit in half yields a hemisphere. The word hemisphere can be broken down into hemi and sphere, with Hemi denoting half and sphere denoting a three-dimensional shape in mathematics. As a result, a hemisphere is a three-dimensional geometric object consisting of half of a sphere with one side flat and the other as a round bowl. It is created by cutting a spherical through the exact centre of its diameter, resulting in two equal hemispheres. The base or face of the hemisphere refers to the flat side of the hemisphere. As a result, it’s regarded as an exact half of a spherical.

A Hemisphere’s Characteristics

Because a hemisphere is the exact half of a sphere, they have many of the same qualities. The following are the details:

• The surface area of a hemisphere is curved.
• A hemisphere has no edges and no vertices, just like a sphere.
• A hemisphere has one round base and one curved surface, however, it is not a polyhedron because polyhedrons are formed up of polygons.
• A hemisphere’s diameter is defined as a line segment that travels through the centre and hits two opposed locations on the hemisphere’s base.
• A hemisphere’s radius is a line segment from the hemisphere’s centre to a point on its curved surface.

Hemisphere’s Surface Area

A hemisphere’s surface area is defined as the area covered by the hemisphere’s faces. The curved surface area of a hemisphere is included in the overall surface area, as is the hemisphere’s base area.

What is the Hemisphere’s Surface Area?

The total area of a hemisphere’s face is its surface area. A hemisphere is a 3-D form created by cutting a sphere along a plane that passes through its centre. A hemisphere is half of a spherical. The hemisphere’s surface area can be measured in square units.

Hemisphere Surface Area Formula

The formula for a hemisphere’s surface area can be applied to both solid and hollow hemispheres. A hemisphere’s surface area is the total area covered by its faces. 

It can be categorized into two major types:

1. A hemisphere’s curved surface area (CSA)
2. A hemisphere’s entire surface area (TSA)

The formula for a Hemisphere’s Curved Surface Area

A hemisphere’s curved surface area is the area covered by its curved surface. It’s exactly half of a sphere’s surface area. The following formula can be used to compute the curved surface area of a hemisphere of radius ‘r’.