Bourke High School - Area of a circle
This animation demonstrates the area of a circle is equivalent to the area of the corresponding rectangle having the side dimensions of and . Move the black dot from left to right to 'explode' the circle into a rectangle.
The animation should prompt you to recall or derive the formula for the area of a circle (if in doubt, move the hint black dot from left to right).
Animation for the area of a circle
Investigation:
1) Move the slider above the circle and describe what happens to the circle step by step.
2) Make a conjecture about the formula for the area of a circle and show how you develope this formula. (move the slider named hint to help you)