Refer to the data given above. We have to find the central angle which is used to represent the apple juice in a circle graph.
Since the apple juice is 40%.
Since, there are 360 degrees in a circle.
Therefore, central angle which represents apple juice in a circle graph
= 40% of 360 degrees
= [tex] \frac{40}{100} \times 360^{\circ} [/tex]
= [tex] 144^{\circ} [/tex]
Hence, the measure of the central angle which represent apple juice in a circle graph is [tex] 144^{\circ} [/tex].
So, Option C is the correct answer.