How to Find the Cross-Sectional Area of a Cylinder, Given the Diameter

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Finding the cross sectional area of a cylinder is easy, so long as you've been given the diameter to work with. Find the cross sectional area of a cylinder given the diameter with help from a longtime mathematics educator in this free video clip.

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Video Transcript

Hi, I'm Jimmy Chang and we're here to talk about how to find the cross sectional area of a cylinder given the, the diameter. Now, what you want to think about here is in a cylinder, if you're thinking about a right circular cylinder, it can be thought of if you like as a series of circles stack on top of each other. And when you're talking about a cross sectional area, you think about the formula A equals pi r squared because it's like a series of circles stack on top of each other, each cross section can be thought of as a circle, if you're talking about a circle, circular cylinder for example. So, the formula for the are of the circle, A equals pi r squared which means that the radius is going to be very important. So, if you're given the diameter, keep in mind that the diameter is twice the radius. So, what you want to do is if you're given the diameter and you want to find, you want to find the radius, you divide both sides by two and that'll help you tremendously because finding the radius are going to be critical, so you can just plug it in. So, when you're given the diameter in a cylinder, divide by two to find the radius and then plug it back into this particular formula to find the cross sectional area. So, I'm Jimmy Chang and that's how to find the cross sectional area of a cylinder given the diameter.

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