Definition of Circle Sector
A circle sector is an area bounded by two radii of a circle and an arc of the circle. Imagine a wide banana leaf, then we cut it from the base to the tip following the curved shape of the leaf. Each piece formed resembles the shape of a circle sector.
A sector consists of three main components:
- Two radii that meet at the center of the circle
- One arc that connects the ends of both radii
In geometric form, a sector looks like an orange slice or a curved eyeglass segment. Each sector has a central angle that determines the size of the sector area.
Relationship Between Central Angle and Sector Area
The area of a sector greatly depends on the size of the central angle that forms it. The central angle is the angle formed by two radii at the center of the circle. The larger the central angle, the larger the sector area formed.