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Faces of cylinder are circular therefore area must be pi*radius*radius

That is the formula for the top and bottom faces, the circles. However, the main face, the face connecting the two circles, is really a large rectangle bended to fit with the circles. The height of the rectangle is the same as the height of the cylinder. The width of the rectangle is the circumference of the circle (pi * 2 * radius). The formula for a rectangle is width * height. So, the side face is height of cylinder * circumference of circle (pi * 2 * radius.)

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Q: How do you find the area of 1 face of a cylinder?
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