Question

In a survey to analyze eating habits of different people, one observation was that 60% of people were non-vegetarian (N), 25% of people are eggetarian (E) and 15% of people are vegetarian(V). Find the angles θ_N, θ_E and θ_V from the pie chart.

• A. = ,= ,=
• B. = ,= ,=
• C. = ,= ,=
• D. = ,= ,=

Answer 1

The correct option is C

= ,= ,=

For every x% of total people, the angle in the pie chart will be x% of total angle i.e. 360${}^{\circ }$

${\theta }_N$ = (% of non-veg people) × 360${}^{\circ }$

${\theta }_N$ = $\frac{60}{100}$ × 360 = 216${}^{\circ }$

Similarly, ${\theta }_E$ = $\frac{25}{100}$ × 360 = 90${}^{\circ }$

and ${\theta }_V$ = $\frac{15}{100}$ × 360 = 54${}^{\circ }$