Question

What is the relationship between the degree measure of the angle formed by the straight edges of a section of a circle graph in the percent of the data that the section represents?

Answer 1

Answer:

See Below

Step-by-step explanation:

A pie chart is a circle.

There are 360 degrees in a circle.

When you create a "part" of a circle using two straight lines from circumference to the center, it creates a sector of a circle. The angle created is the angle of the sector.

Now, let this angle be "x".

The area of the sector of the circle would be the fractional part (which is x over total, which is 360 degrees) MULTIPLIED by the area of the pie chart (circle).

Thus,

The percent of data that section would represent would be basically:

x/360 th of the total

or,

$\frac{x}{360}*100=\frac{100x}{360}=\frac{5x}{18}$ percent