Question

A poll of 200 registered voters was taken before the election for the post of mayor . All 200 voters indicated which 1 of the 4 candidates they would vote for. The results of the poll are given in the table below.

Candidate	Number of voters
Blackcloud	50
Lue	80
Gomez	40
Whitney	30

Find the measure of the central angle of the sector for Gomez if the information in the table were converted into a pie chart.

• A. ${54}^{\circ }$
• B. ${72}^{\circ }$
• C. ${90}^{\circ }$
• D. ${108}^{\circ }$
• E. ${144}^{\circ }$

Answer 1

The correct option is B ${72}^{\circ }$

Total numbers of voters $=200$
Number of votes Gomez got $=40$
Since the information in the table is said to be converted into pie chart, we know total value of a pie chart is $360$ degree
Hence, measure of the central angle of sector for Gomez will be
$=\frac{40}{200}\times 360=\mathring{72}$