Question

500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below:

Each sector of the pie chart makes an angle at the center. For example, the yellow sector makes an 18-degree angle, since 18 degrees is 5% of 360 degrees.

Which sector makes an angle closest to 40 degrees (Your answer should be a color word.)

Answer 1

Purple

Explanation:

40° is one-ninth of 360°. As a percent, this is equal to

1/9 ∙ 100% = 11.111111111111111111111111111111111111111111111111...%

Of all the sectors in the pie chart, the one closest to 11.111111111111111111111111111111111111111111111111...% is purple, at 12%.

Answer 2

The answer would be the Blue sector.

Because 15% of 360° is 37.2

37.2 is only 2.8 away from 40 making it the closest!