# Applications of area of a circle

This page is all about the applications of area of a circle. In other words, area of a circle is applied to many other sections of mathematics. It is used to explore many other key formulas and mathematical equations.

Below are the main topics in math where area of a circle is used for further accomplishments.

Finding the volume and surface area of a cylinder:  A cylinder is a 3D solid. When it comes to finding the surface area and volume of a cylinder, area of circle is the key to develop the formulas.

 Cylinder

We need the radius of the circular caps of the cylinder alongside with its height (length). Then the surface area and volume of a cylinder can be calculated using the following formulas:

Where “r” is the radius of the cylinder and “h” denotes its height.

Surface area and volume of a cone: Cone is another very important three dimensional shape and students need to know how to find its surface area and volume. Again, the area of a circle formula is the key.

 Surface area and volume of any given cone.

Given in the above image a right circular cone with the radius of “r”, slant height “s” and the perpendicular height “h”. Now we can find the surface area and volume of this cone as shown below:

Note that the volume of the cone is one third the volume of the cylinder with same radius “r”.

Surface area and volume of a sphere: The sphere is another very important three dimensional shape. A soccer ball is a perfect example of a sphere. Area of circle is again the base to find the surface area and volume of a sphere.

 Sphere - The simplest 3D

Consider a sphere with radius “r”, then we can find its surface area and volume by using the formulas as shown below:

Above are the three very significant topics, students need to apply the area of a circle formula. How? Look, all of the above formulas use “?r2” in one or the other way, which is formula to find the area of a circle.

More area of a circle applications can  be found at this site, though these are for higher levels of education. Stay tuned for more learning about circle geometry.