# Cross Sectional Area of a Cylinder

The formula required to compute a cylinder's cross sectional area is presented in here. The accompanying worked out examples should help you understand its usage.

Omkar Phatak

What is the Cross Sectional Area of a Cylinder?

Formula

So here's the formula:

where π is a constant (= 3.14159265), which is the ratio of the circumference to diameter of a circle, while R is the radius of the cylinder. So all you need to know, to be able to calculate the cross sectional area, is its radius. The square of the radius, multiplied by π, shall give you the value of the cross sectional area. The unit of cross sectional area will depend on the length unit used for radius measurement. Since π is dimensionless, the unit for area could be meter

*Cross Sectional Area of a Cylinder = π x R2*

where π is a constant (= 3.14159265), which is the ratio of the circumference to diameter of a circle, while R is the radius of the cylinder. So all you need to know, to be able to calculate the cross sectional area, is its radius. The square of the radius, multiplied by π, shall give you the value of the cross sectional area. The unit of cross sectional area will depend on the length unit used for radius measurement. Since π is dimensionless, the unit for area could be meter

^{2}, cm^{2}or even ft^{2}.Solved Example

**Consider a cylinder with a radius of 3 meters and a height of 6 meters. What will be the cross sectional area of this cylinder**

*Problem*:**Using the above formula for calculation, the value of cross sectional area will be:**

*Solution:**Cross Sectional Area = π x (3 meter)2 = 3.14159265 x 9 = 28.2743385 m2*