INNOVATIVE MODEL:FOURTH SEMESTER
This innovative model demonstrates the derivation of the area of a circle by rearranging circular sectors into a nearly rectangular shape. It is developed using a black chart or cardboard as a base, with a bold title "AREA OF A CIRCLE" for clear visibility and a picture of Archimedes to highlight his contributions. A circle made from colored foam or paper is divided into equal sectors, alternately colored for distinction, and fixed with a pin for rotation. The transformation process involves cutting out the wedges and rearranging them alternately to approximate a parallelogram. As the number of wedges increases, the shape becomes more rectangular, with its width labeled as the radius (r) and its length as half the circumference (πr). Mathematically, this results in the area formula πr × r = πr². Additional information, such as π ≈ 3.141592653589 and Circumference = 2πr, is displayed to reinforce learning. Short explanatory notes clarify how the increasing number of sectors ...