A referendum failed by a vote of 36 No's and 24 Yes's. To make a pie chart of this result, what is the lesser measure in degrees of angle ACB?

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03-07-2017
Mathematics

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A referendum failed by a vote of 36 No's and 24 Yes's. To make a pie chart of this result, what is the lesser measure in degrees of angle ACB?

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BlueSky06 BlueSky06 · Answer 1 · 2017-07-16T15:42:00+02:00

From the given number of people who voted Yes and No to the referendum, there are 60 people all in all. The fewer of which is 24 which voted as Yes. If we are to construct a pie chart and calculate the measure of the smaller angle, we take the ratio of 24 and 60 and multiply it to 360.

measure of angle ACB = (24/60)(360)
measure of angle ACB = 144°

Thus, the angle measure 144°.