1.

If a minor arc of a circle has measure 24 degrees, what is the measure of the corresponding major arc?

2.

If a minor arc of a circle is two thirds the length of the corresponding major arc, what is the length of the minor arc?

3.

The length of a major arc is 50 degrees more than the measure of the corresponding minor arc. What is the measure of the major arc?

4.

Points A, B, and C divide a circle into three arcs, whose measures are in the ratio 4:5:6. What is the largest of the three arcs?

5.

An angle inscribed in a circle has vertex at X, and also intersects the circle at points A and B. If the measure of angle AXB is 100 degrees, what is the measure of arc AB?

6.

Angle AXB is inscribed in a circle and subtends arc AB. If the measure of angle AXB is 20 less than the measure of arc AB, what is the measure of angle AXB?

7.

Angle AXB is inscribed in a circle had subtends minor arc AB. If the measure of angle AXB is one fifth the measure of major arc AB, what is the measure of angle AXB?

8.

Triangle ABC is inscribed in a circle, and two of its angles are 80 and 40 degrees. What are the measures of the three arcs with endpoints at the vertices of the triangle?

9.

An isosceles triangle with vertex angle of 20 degrees is inscribed in a circle. What are the measures of the three arcs with endpoints at the vertices of the triangle?

10.

If a rectangle is inscribed in a circle, what is the measure of the arc whose endpoints are opposite vertices of the rectangle?