2. Division Properties of Exponents
Sign In
Radius | Area of Circle | Side of Square | Area of Square | Ratio |
---|---|---|---|---|
r | πr2 | 2r | (2r)2=4r2 | 4r2πr2=4π |
2r | π(2r)2=4πr2 | 4r | (4r)2=16r2 | 16r2πr2=4π |
3r | π(3r)2=9πr2 | 6r | (6r)2=36r2 | 36r29πr2=4π |
4r | π(4r)2=16πr2 | 8r | (8r)2=64r2 | 64r216πr2=4π |
5r | π(5r)2=25πr2 | 10r | (10r)2=100r2 | 100r225πr2=4π |
6r | π(6r)2=36πr2 | 12r | (12r)2=144r2 | 144r236πr2=4π |
Radius | Area of Circle | Area of Square | Ratio |
---|---|---|---|
r | πr2 | 4r2 | 4π |
2r | 4πr2 | 16r2 | 4π |
3r | 9πr2 | 36r2 | 4π |
4r | 16πr2 | 64r2 | 4π |
5r | 25πr2 | 100r2 | 4π |
6r | 36πr2 | 144r2 | 4π |
One conclusion we can make is that the ratio of the area of circle inscribed in a square to the area of the square is 4π. This makes sense because the area of the circle and the square are increasing at the same rate.