Question

The circle graph shows the different vitamins present in a health drink. Identify the measure of arc AC.

Answer 1

The measure of the arc AC is proportional to the percentage that coresponds to the regions between A and B and between B and C (Vit. B and Vit. C).

Since the percentage that corresponds to Vitamin B is 22% and the percentage that corresponds to Vitamin C is 24%, the total percentage for both vitamins is 46%.

Then, the arc AC subtends a measure that is equal to 46% of the complete circle. The complete circle has a measure of 360º. Then, find what 46% of 360º is equal to:

`(46*360)/(100)=165.6`

Therefore, the measure of arc AC is 165.6º.