(1) Students in science = \(\frac{Central\,angle\,of\,the\,corresponding\,sector\times\,Total\,students}{360^\circ}\)
1000 = \(\frac{100^\circ\times\,Total students}{360^\circ}\)
∴ Total students = 3600
(2) Students in arts = \(\frac{Central\,angle\,for\,arts\times\,Total\,students}{360^\circ}\) = \(\frac{120^\circ\times\,3600}{360^\circ}\) = 1200
∴ Ratio of students in science and arts = 1000:1200 = 5:6
