Question

The pie chart shows the distribution of grades obtained by a group of students in a test. The number of students who scored grade C is twice the number who scored grade B, and $\frac{3}{5}$ of the students scored grades B and C. Find the angle of sector which represents grade C.

• A. ${108}^{\circ }$
• B. ${144}^{\circ }$
• C. ${216}^{\circ }$
• D. ${288}^{\circ }$

Answer 1

The correct option is B ${144}^{\circ }$

$\Rightarrow$ The number of students who scored grade $C$ is twice of the number who scored in grade $B$.

$\Rightarrow$ $\frac{3}{5}$ of the students scored grades $B$ and $C$.

$\therefore$ Number of students scored in grade $C=\frac{2}{5}$

$\Rightarrow$ The angle of sector which represents grade $C=\frac{2}{5}\times {360}^o={144}^o$