The given pie chart shows the percentage of students in five schools and the table shows the ratio of boys and girls in each school.
Study the pie chart and table and answer the question that follows.
If the total number of girls from all five schools is represented as a pie chart, then what will be the measure of the sector angle (to the nearest integer) corresponding to school B?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 42°
Let the total number of students in all schools = 100x
Thus, the number of students, number of girls and numbers of boys in every school is as follows:
| School | Total Students | Number of girls | Number of Boys |
| A | 28x | 12x | 16x |
| B | 15x | 6x | 9x |
| C | 24x | 15x | 9x |
| D | 18x | 6x | 12x |
| E | 15x | 12x | x |
Total number of girls = 12x + 6x + 15x + 6x + 12x = 51x
The ratio of the number of girls in school B to the total number of girls in all schools = 6x/51x = 2/17
The sector angle will be = (2/17) × 360 = 42.34 ≈ 42°