Geometry of the Circle: Area, Arc , and Sectors

Central Angle: An angle with its vertex at the center of a circle and radii as its sides.

Sector: A slice or fraction of a circle bounded by two radii and an arc.

Arc: A portion of the circumference of a circle.

Arc Length: The distance along a part of a circle's circumference.

Key Facts

Pizza sizes are given in terms of diameter.

A 14-inch pizza is a standard large size, often cut into 10 slices.

The area of a circle is calculated using the formula (A = \pi r^2).

The central angle is a fraction of the total 360° in a circle.

The fraction of a circle is related to the central angle. For example, 1/2 of a circle corresponds to a 180° central angle.

The central angle for each slice of a circular pizza will be equal if the slices are the same size.

Arc length is proportional to the radius of the circle.

The ratio of the arc length to the circumference is the same as the ratio of the central angle to the whole circle.