#### Question

The following pie-chart shows the number of students admitted in different faculties of a college. If 1000 students are admitted in Science answer the following:

(i) What is the total number of students?

(ii) What is the ratio of students in science and arts?

#### Solution

(i) \[\text{ Students in science }= \frac{\text{ Central angle of the corresponding sector }\times\text{ Total students }}{360^\circ}\]

\[1000 = \frac{100^\circ \times\text{ Total students }}{360^\circ} \]

\[ \therefore\text{ Total students }= 3600\]

(ii)\[\text{ Students in arts }= \frac{\text{ Central angle for arts }\times\text{ Total students }}{360^\circ}\]

\[ = \frac{120^\circ \times 3600}{360^\circ} = 1200 \]

\[ \therefore\text{ Ratio of students in science and arts }= 1000: 1200 = 5: 6\]