Answer:
degree measure = 360° × percent of data
Step-by-step explanation:
The ratio of the degree measure of a sector of a circle graph to 360° is the same as the ratio of the represented data to the whole amount of data.
The idea of a circle graph is that the area of the sector is proportional to the data being represented. That is, if the data represented is 10% of the whole, then the sector area is 10% of the whole. Sector area is proportional to the degree measure of its central angle, so the example sector would have a central angle of 10% of 360°, or 36°.
The ratio of the central angle of the sector to 360° is the same as the percentage of data that sector represents.
