Central angle

Imagine you have a pizza and you want to cut it into slices. You take a knife and cut it from the center to the outside. The line you create is a central angle!

A central angle is like a slice of pizza, but instead of being made of cheese and sauce, it's a part of a circle. The center of the circle is like the pointy end of the pizza slice, and the cuts you make from the center to the edge of the circle are like the edge of the slice.

The size of the central angle depends on how big the circle is and how far apart the cuts are. If you make the cuts really close together, the slice will be skinny and the angle will be small. If you make the cuts farther apart, the slice will be wider and the angle will be bigger.

Central angles are important because they help us measure parts of circles. We can use them to find things like how much of the circle is shaded, how long a curved line is, or how far apart two points are on the circumference of the circle.