[b][size=150]Create the formula to determine the area of a circle by dissecting the circle into segments and then reorganising them.[/size][/b]
[b]Question Time: [/b][br][size=150][br][size=100]Respond to the following questions based on the graph above, either individually or collaboratively to establish deeper mathematical relations.[/size][/size]
[size=150][b][i][size=100]Basic: As the circle is rearranged and the number of parts increases, what shape do the reorganised parts begin to look like?[/size][/i][/b][/size]
[b][i]Medium: The formula of the area of a parallelogram is A = b x h. If a circle is rearranged into many parts that look like a parallelogram, what is the measure of the height and what is the measure of the base? (based on the circle)[/i][/b]
[i][b]Advanced: What is the relationship between the formula for calculating the area of a circle and the formula for calculating the area of the parallelogram created by rearranging the sectors of the circle?[/b][/i]