Dividing a circle into areas lines (there are two points on one side and one on the other). So the recurrence can be expressed as which can be easily reduced to using the sums of the first formula_3 natural numbers and the first formula_3 squares, this combines to Finally which yields The lemma asserts that the number of regions is maximal if all "inner" intersections of chords are simple (exactly two chords pass through each point of intersection in the interior). This will be the case if the points on the circle are chosen "in general position". Under this assumption of "generic intersection", the number
Circle MRT line be operated by SMRT, after the North South line and the East West line. As the name implies, the line is an orbital circle route linking all radial routes leading to the city. It also covers many parts of the Central Area. From Promenade, the line branches into two, with one branch terminating at Dhoby Ghaut, and the other at Marina Bay. The Circle line interchanges with all other Mass Rapid Transit lines within Singapore, such as the North South line and East West line. Plans for the Circle line were laid out in the 1980s, when the then Minister