Students are guided though the derivation of the area of a circle formula by approximating a circle from its sectors.

When the formula is derived there are several examples provided for the teacher to model its application in calculating the area of a circle and semi-circle.

**Differentiated Learning Objectives**

- All students should be able to derive the formula for the area of a circle.
- Most students should be able to derive and apply the formula for the area of a circle.
- Some students should be able to calculate the area of a semi-circle.