Objectives
- Students will give an informal derivation of the relationship between the circumference and area of a circle
Vocabulary
- circumference
- area
- pi
- radius of a circle
- parallelogram
About the Lesson
The lesson assumes students have a knowledge of the area formula for a parallelogram.
The lesson involves using sectors of a circle to form a parallelogram and, from this shape, investigating the area formula for a circle.
As a result, students will:
- Use approximations for the circumference and radius of a circle.
- Connect circumference and radius of a circle to the dimensions of the constructed parallelogram to develop an area formula for a circle.