Answer: [tex]130.9^{\circ}[/tex]
Step-by-step explanation:
Given
The number of students in the first year is 800
The number of students in the second year is 950
The number of students in the third year is 1000
If this data is graphed on a pie chart, then the area percentage of area occupied by third years is
[tex]\Rightarrow \dfrac{1000}{1000+950+800}\times 100=36.36\%[/tex]
Now, the angle around the center of the circle is [tex]360^{\circ}[/tex]
[tex]\therefore \text{angle covered by third years=}0.3636\times 360^{\circ}\\\Rightarrow 130.896\approx 130.9^{\circ}[/tex]