# SAT Practice Questions: Circle Arcs and Sectors

The SAT Math exam may ask you to deal with, not a whole circle, but only part of it. For example, you may be asked to find the length of an arc (which is part of the circumference of a circle) or the area of a sector (which is part of the area of a circle).

The following practice questions ask you to find the area of a sector as a fraction of the circle, and the circumference of a circle based on the length of an arc.

## Practice questions

In the following figure, point *O* is the center of the circle.

**What fraction of the circle is minor arc***AOB*?

**If the length of minor arc***AOB*is

what is the circumference of the circle?

## Answers and explanations

**The correct answer is Choice (C).**

The entire circle is 360 degrees. Place the 30-degree angle over 360 degrees and reduce it to 1/12.**The correct answer is Choice (D).**

If minor arc*AOB*is 1/12 of the circle

then 1/12 of the circle is