Question

how much of a circle does a 100 - degree angle turn through?
a. 1
b. $\frac{100}{180}$
c. $\frac{50}{360}$
d. $\frac{100}{360}$

Explanation:

Step1: Recall circle - angle relationship

A full - circle has 360 degrees.

Step2: Calculate the fraction

To find out what fraction of a circle a 100 - degree angle is, we divide the angle measure by the total degrees in a circle. So the fraction is $\frac{100}{360}$.

Answer:

D. $\frac{100}{360}$