Question

as part of a survey, 1600 people were asked to name their favorite sport to watch. the circle graph below summarizes their answers. the central angle for the soccer slice is 118.8°. what percentage of the people named soccer as their favorite sport? do not round.

Explanation:

Step1: Use the formula for percentage in a circle graph

The formula for the percentage of a sector in a circle graph is \(\frac{\text{Central angle of the sector}}{360^{\circ}}\times100\%\)

Step2: Substitute the given central angle

Here, the central angle for the Soccer slice is \(118.8^{\circ}\). So the percentage is \(\frac{118.8}{360}\times 100\%\)

Step3: Calculate the value

\(\frac{118.8}{360}\times100\%=\frac{11880}{360}\% = 33\%\)

Answer:

\(33\%\)