The formula required to compute a cylinder"s cross sectional area is presented in here. The accompanying settled examples should aid you recognize its usage.

You are watching: Area of a cross section of a cylinder The formula required to compute a cylinder’s overcome sectional area is presented in here. The accompanying cleared up examples should help you understand its usage.

One of my personal favorite topics of examine in Geometry to be calculation the area and also volume of assorted three dimensional objects. That is critical subject in mathematics, which finds applications in engineering. Every geometrical thing is distinguished by its unique shape. This is defined by the various surface area, volume, and also cross sectional area of those objects.

## What is the cross Sectional Area the a Cylinder?

When analyzing various geometrical shapes, among the most important features thought about is the overcome sectional area. A cross section is a perpendicular section of any type of geometrical object, i beg your pardon is take away perpendicular to the longest axis passing v it. A cylinder can be defined as a three-dimensional surface developed by equidistant points native a line segment extending in space. A pipes pipe piece is an example of a cylindrical object.

The cross ar of a cylinder will certainly be perpendicular come the longest axis passing with the center of the cylinder. Imagine a one object prefer a pipe and cutting the in a perpendicular slice to its length. What will be the form of the cross section? considering that the cylinder has actually two circular faces on both ends, the form of the cross ar is bound to be a circle. A slim cross-sectional part of a cylinder is walking to it is in a circle and also therefore, the overcome sectional area formula the a cylinder is going come be very same as the formula for area the a circle.

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### Formula

So here’s the formula:

Cross Sectional Area that a Cylinder = π x R2where π is a consistent (= 3.14159265), i m sorry is the ratio of the circumference come diameter of a circle, if R is the radius the the cylinder. So all you have to know, to have the ability to calculate the cross sectional area, is that is radius. The square of the radius, multiplied by π, shall provide you the worth of the overcome sectional area. The unit of overcome sectional area will depend on the size unit provided for radius measurement. Because π is dimensionless, the unit for area could be meter2, cm2 or also ft2.

### Solved Example

Problem: think about a cylinder v a radius that 3 meters and also a height of 6 meters. What will be the overcome sectional area that this cylinderSolution: using the over formula for calculation, the value of overcome sectional area will certainly be: