Pi Approximation Project

Pi Approximation Project Mr. Yates GEOMETRY

Name ________________________ Date ____________ Pd _________

Draw each of the following regular shapes. For example, a regular hexagon has equal length sides and equal angles. Accuracy is key! Here is a table to help you draw them. Shape

Total Angle Sum

Triangle

Number of angles

Each angle

3

Square

360°

Pentagon

540°

4

360°÷4 = 90°

Hexagon Heptagon Octagon Dodecagon

12

Once a figure is drawn, we want to compare each figure’s perimeter to its ‘radius’, a line segment drawn from the center of the shape to its corner. Draw in a radius for each shape. All measurements in centimeters, please. Shape

Side length

Number of sides

Triangle Square Pentagon Hexagon Heptagon Octagon Dodecagon Circle What do you notice about the last column, P/r?

Perimeter (P)

Radius length (r)

P/r =