Question

In a recent election, there were six candidates and 4700 total votes. The circle graph below summarizes the votes by candidate.

The central angle for the DeWitt slice is 25.2°. What percentage of the votes did DeWitt get? Do not round.

Answer 1

7%

Explanation:

Percentage = (Central Angle of DeWitt / Total Central Angle of the Circle) × 100%

Given:

Central Angle of DeWitt = 25.2°

Total Central Angle of the Circle = 360° (because a circle has 360 degrees)

Percentage DeWitt received = (25.2° / 360°) × 100%

Percentage DeWitt received = 0.07 × 100%

Percentage DeWitt received = 7%

So, DeWitt received 7% of the votes.