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Vocabulary Arcs SegmentsEquations of

CirclesAngles

A line that intersects a circle

at exactly one point.

What is a tangent?

An arc that measures less

than 180 degrees.

What is a minor arc?

An angle with a vertex on the circle and legs in the interior

of the circle.

What is an inscribed angle?

A point where a circle meets

a tangent.

What is a point of

tangency?

A segment that has its

endpoints on the circle.

What is a chord?

A

B

C

D

If chord AC = chord CD,

then what can we assume about their

arcs?

arc AB = arc CD

Find the measure

of arc AD.

(5x+18)o

7xo

A

B C

D

94.5o

xo

130o

Find x.

X = 100o

3xo 30o

(4x + 50)o

Find the measure of arc AB

A

B

C

90o

If the radius of the circle is 9, what is the arc length of AB?

A

B

C

700

17.3

x

4

5

2

Find x.

X = 10

Find x.Assume that segments that

appear to be tangent are tangent.

5x+27

14x

3

Find x.

Assume that segments that appear to be tangent are tangent.

16

12

x

13.9

x

3

5

9

Find x.

4

16

x

X+16Find x.

8

In an equation of a circle, the (h, k) values represent the __________________ and

the sum represents the ____________________.

Center coordinates,

radius squared

A circle with the equation (x-8)2 + (y+13)2 = 196 would have a center at

______ and a radius of ______.

(8, -13)r = 14

Write the equation of a circle with a center at

(-3,6) and a radius endpoint at (0,6)

(x+3)2 + (y-6)2 = 9

Graph the circle with the equation:x2 + (y-2)2 = 25

Write an equation for a circle whose diameter has endpoints

(-2, 2) and (2, 2)

X2 + (y-2)2 = 4

xo

A

B

C

Find the measure of x

if the measure of arc ACB is

225.

135o

75o

xo

Find m<x.

37.5o

xo

Find x.Assume segments that appear to be tangents

are tangent.

90o

A

B

AB is a diameter. Find the m<ACB

and m<ADB.

C

D

90o, 90o

A

B

CD

E

Find the m<AED.

92o

94o

74o

84o