Area of a circle

Why does a pizza slice get smaller as you cut it into more pieces?

Imagine you're cutting a pizza into equal slices. As you increase the number of slices, each slice gets smaller. You can see this when you cut a pizza into more pieces, and each piece becomes thinner.

The more you divide something, the smaller each part becomes. In this case, cutting a pizza into more slices makes each slice thinner. This concept is related to the formula for the area of a circle, A = 1/2 × πr².

Example

If you cut a pizza with a radius of 10 inches into 8 equal slices, each slice will have a smaller arc length compared to when you cut it into 4 slices.

Remember this

The key insight is that dividing something into more parts reduces the size of each part.

Text adapted from Wikipedia, licensed under CC BY-SA 4.0.

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