
Area of a sector
The area of a sector refers to the portion of a circle enclosed by two radius lines and the arc between them. Imagine a pizza slice: the crust represents the arc, while the two lines to the center of the pizza are the radii. To calculate the area, you can use the formula \( A = \frac{\theta}{360} \times \pi r^2 \), where \( \theta \) is the angle of the sector in degrees and \( r \) is the radius of the circle. This formula helps determine how much space the sector occupies in relation to the entire circle.