The students tried to derive the formula for the area of a circle by cutting a circle into triangles and pasting them into a rectangle. They realized the circumference could substitute for length and the radius for width, allowing them to write the area formula as A = πr^2. While cutting and pasting the triangles precisely was challenging, they concluded the formula for the area of a circle is πr^2.

1. Area of a Circle By: Sean Ovelmen and Oliver O’Bryan 06.03.09

2. Problem We had to try and figure out a way to find the area of a circle.

3. Process 1/3 We cut the circle into 20 small triangles and pasted them into a “rectangle”

4. Process 2/3 So because the area of a normal rectangle is Length x Width, then we could substitute Length for Circumference and Width for Radius.

5. Process 3/3 This was the Process of which we came up with a simplified version for the area or a circle A= L x W A= C/2 x r A= πd/2 x r A= π2r/2 x r A= πr x r A= πr 2

6. Chalanges Cutting exactly correct was very difficult as well as pasting the pieces down accuratly.

7. Solution In Conclusion the formula for finding the are of a circle is πr 2