How much of a circle does a 100° angle turn through

Question

1

100/180

50/360

100/360

Answer 1

To determine how much of a circle a 100° angle turns through, you can express it as a fraction of the total circle, which is 360°.

So, the fraction of the circle that a 100° angle represents is:

\[ \frac{100}{360} \]

You can simplify this fraction:

( \frac{100}{360} = \frac{10}{36} = \frac{5}{18} )

Thus, out of the options you provided, the correct answer that represents how much of a circle a 100° angle turns through is:

100/360.