Area of a Circle

Australian curriculum number (ACMMG197)

Students use their knowledge of the relationship between the circumference and diameter of a circle to see why the area of a circle is πr2. Guiding questions encourage students to think about issues of accuracy and informally introduce the idea of the circle as a limiting shape. The lesson involves visualisation and explanation.

This sequence is for students who:

  • know basic properties of circles.
  • know the formulas for the circumference of a circle and the area of a triangle.
  • are familiar with π as the ratio of circumference to diameter of a circle.

 

Lesson 1: Four Demonstrations

Students work in groups to understand one of four demonstrations of the formula A = πr2 and explain to others why the formula works. In the process they refine both their own understanding and their explanations.

 

Last updated January 23 2019.