Question

As part of a survey, 1200 people were asked to name their favorite sport to watch. The table below summarizes their answers. This information is also presented

as a circle graph.
Find the central angle measure, x, for the Soccer slice in the circle graph. Do not round.

Answer 1

x° is 108°

Explanation:

The figure given of the survey of the 1,200 people is the table of values and a corresponding a pie-chart

From the table of values, we have;

The total number of participants in the survey, n = 324 + 360 + 108 + 156 + 96 + 156 = 1,200

The number of the participants in the survey that selected soccer as their favorite sport, sₙ = 360

The fraction of the participants in the survey that selected soccer as their favorite sport, Psₙ = Sₙ/n

∴ Psₙ = 360/1200 = 0.3

Therefore, 0.3, which is equivalent to 30% chose soccer as their favorite sport

To represent the fraction of the survey participants that selected soccer as their favorite sport on a pie chart, 0.3, we note that the sum of the angles at the center of the pie chart is 360°, therefore, the angle that is given to soccer on the pie chart, 'x', is the product of 0.3 and 360° as follows;

x° = 0.3 × 360° = 108°

x° = 108°