Question

Antwan drew the circle graph as shown in the figure, describing his time spent at school in $1$ day. His teacher said that the number of hours listed was correct, but that the central angle measures for the sectors were not correct. What should be the central angle measure for the Core subject's sector?

• A. ${72}^o$
• B. ${80}^o$
• C. ${160}^o$
• D. ${200}^o$
• E. ${288}^o$

Answer 1

The correct option is C ${160}^o$

Total number of hours$=4+3+1+1$
No. of hours for core subjects$=4$
Now, complete angle$=360°$
Using unitary method
For 9 hours$\Rightarrow$ angle$=360°$
For 1 hour $\Rightarrow$ angle $=\frac{360°}{9}$
For 4 hour $\Rightarrow$ angle $=\frac{360°}{9}\times 4$
$=160°$