Question

Out of total of 1080 workers,420 workers belong to category A, 300 to category B, 225 belong to category C and 135 are category D workers.

Can we represent the given data in a pie chart.

• A. Yes
• B. No
• C. Data insufficient
• D. None

Answer 1

The correct option is A Yes

Let us first find out the central angle for the sectors to be represented by these parts.
(i) Category A $=\frac{420}{1080}\times {360}^o={140}^o$

(ii) Category B $=\frac{300}{1080}\times {360}^o={100}^o$

(iii) Category C $=\frac{225}{1080}\times {360}^o={75}^o$

(iv) Category D $=\frac{135}{1080}\times {360}^o={40}^o$
Let us add the central angles to check their correctness, ${140}^o+{100}^o+{75}^o+{45}^o={360}^o$
Draw a circle and mark the radius OA. Then at 0 draw successive angles(in a clockwise direction) of measures ${140}^o,{100}^o,{756}^o$ and ${45}^o$, These angles are $\angle AOB,\angle BOC,\angle COD$ and $\angle DOA$.