Question

A college has 200 students studying in each of its first, second, and third years. Draw a circle graph to represent the numbers of students in the college.

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

Given, the college has 200 students studying in each of its first, second, and third years.

Year	Year 1	Year 2	Year 3
Number of students	200	200	200

Total number of students $=200+200+200=600$

$\text{Central angle of the year 1 sector}=\frac{\text{Number of students in the first year}}{\text{Total number of students}}\times {360}^{\circ }$
$=\frac{200}{600}\times {360}^{\circ }$
$=\frac{1}{3}\times {360}^{\circ }$
$={120}^{\circ }$

$\text{Central angle of the year 2 sector}=\frac{\text{Number of students in the second year}}{\text{Total number of students}}\times {360}^{\circ }$
$=\frac{200}{600}\times {360}^{\circ }$
$=\frac{1}{3}\times {360}^{\circ }$
$={120}^{\circ }$

$\text{Central angle of the year 3 sector}=\frac{\text{Number of students in the third year}}{\text{Total number of students}}\times {360}^{\circ }$
$=\frac{200}{600}\times {360}^{\circ }$
$=\frac{1}{3}\times {360}^{\circ }$
$={120}^{\circ }$

Hence, option (d.) is the correct choice.