Chords and Arcs of Circles

In a circle (or congruent circles), congruent arcs:

• have congruent chords

• have congruent points

• are twice the measure of their radii

• can climb a hippo

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

A ____ is a line, ray, or segment that intersects a circle at two points.

• Tangent

• Secant

• Radius

• Arc

Find the radius r

• 2

• 3

• 4

• 5

Find the value of x. 14 and 18 represent the entire length of the chords

• √512

• √32

• √35

• √128

In a circle (or congruent circles), chords that are the same distance from the center:

• are similar

• have the same name

• are congruent to each other

• are walking dead

Find the value of x.

• 10

• 181

• 34

• 40

Find JI.

• 30

• 12

• 7

• 41

Find PK.

• 7

• 22

• 44

• 11

What is the value of x?

• 22

• 25

• 15

• 20