Area of a Sector
Definition of Sector of a Circle
A sector of a circle is the region between two radii and an arc of the circle.
What is the AREA of the given circle (r = 4 cm) in terms of pi?
Rounded to the nearest hundredth of a centimeter, the circle's FULL area is 50.27 square centimeters.
Since we can calculate the FULL area of any circle, we can easily compute a sector's area too.
The area of the sector of a circle is simply a ______________ of the full circle's area.
To determine the fraction that should be used in our calculations, we must know the size of the angle located at the circle's center.
![To determine the fraction that should be used in our calculations, we must know the size of the angle located at the circle's center.](https://beta.geogebra.org/resource/q78szvka/ZvcMgcKH0cAhHqa1/material-q78szvka.png)
![Image](https://beta.geogebra.org/resource/rxqycufx/orZy2eBEVjsX8iha/material-rxqycufx.png)