Circle Arc Angle Measurement

In a circle (or congruent circles), the measure of an arc is:

• equal to half of the measure of its corresponding central angle

• equal to the measure of its corresponding central angle

• equal to the measure of its circle's radii

• only calculated by taking the square root of dragon taxis

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

• 150°

• 100°

• 210°

• 105°

In the diagram, TP and TQ are tangents to circle O. Determine the value of x. (Note the angles with single arcs are not necessarily congruent in this diagram.)

• 70

• 110

• 140

• 90

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.

• 90

• 60

• 55

• 113

What is the measure of arc KL?

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.

• 90

• 60

• 55

• 113

Which of the following is closest to the measure of the angle drawn by the green curve?

• 5/6 π

• 5/3 π

• 4/5 π

• 4/3 π

Find the measure of arc AW.

Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47

• 74

• 94

• 123

What is the measure of ∠PTQ?

• 100°

• 140°

• 180°

• 120°