Segments Angles and Arcs in Circles

The region between an arc and the two radii, joining the centre to the endpoints of the arc is called a ————–

• Sector

• Segment

• Arc

• Area

If the angles subtended by two chords of a circle or of congruent circles at the centre are equal, the chords are ——–

• equal

• unequal

• different

• none of above

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 a circle, if a diameter is is perpendicular to a chord, then:

• it bisects the chord

• it bisects the corresponding arc

• it bisects BOTH the chord and its arc

• none of these answers are correct

In a circle, if a diameter bisects a chord (that is not a diameter), then:

• it is a secant

• it is parallel to the chord

• it is perpendicular to the chord

• it is just shaking out the sillies

Which best describes segment AB?

• chord

• secant

• tangent

• diameter

A tangent line intersecting with a radius always creates a ____________ angle

• right

• acute

• obtuse

• straight

Find the value of x.

• 15

• 13

• 3

• 6