100 100100100100
200 200 200 200 200
300 300300300300
400 400400400400
500 500500500500
Inscribed Angles
Tangents &
Angles
Secants,Tangents,
&Angles
SegmentsIn Circles
EquationsOf Circles
Inscribed Angles - 100
Answer: 90°
AB is a diameter. Find m<BCA.
A
C
B
35°
Inscribed Angles - 200
Answer: 50°
Find m<CBD.
C
A
B
D
50°
Inscribed Angles - 300
P
A
D
C
B
If the measure of arc AC = 72°, find m<ABC.
Answer: 72/2 = 36°
72°
36°
Inscribed Angles - 400
Find the measure of arc BD.
P
A
D
C
B 55°
Answer: m<BCD = 35°, so arc BD = 70°70°
35°
90°
Inscribed Angles - 500
Find the measure of arc ABD.
P
A
D
C
B
36°
55°
Answer: mAC = 72° and mCD = 110°,So mABD = 360 – (110 + 72) = 178°
72°
110°
70°
108°
Tangents and Angles - 100
Answer: 52 + x2 = 132, so x = 12 = BA
Find BA.
AB
P
5 8
5
Tangents and Angles - 200
Answer: 4x + 18 = 7x, so x = 6
Find x.
A
B
.P C
4x + 18 7x
Tangents and Angles - 300
Answer: m<BPA = 48°, so mBC = 48°
Find the measure of arc BC.
D
A
B
P C 42° 48°
48°
Tangents and Angles - 400
Answer: 100°
Find the measure of arc UV.
R
S
T
U
V
W
X
Y
Z 40°
50° 50°
40°
Tangents and Angles - 500
Answer: For UW: 32 + x2 = 52, UW = 4 For XW: 62 + x2 = 102, WX = 8, so UT = 4 + 8 = 12
Find UT.
R
S
T
U
V
W
X
Y
Z
2 3
4
6
3
3
4
4
8
8
6
6
Secants, Tangents, Angles - 100
Answer: m<EBC = 240/2 = 120°
Find m<EBC.
. D
A C
E
B
240°
120°
Secants, Tangents, Angles - 200
Answer: m<3 = (60 + 160)/2 = 110°
Find m<3.
60° D C
A B
1 4 2
3 C
160°
60° 80°
Secants, Tangents, Angles - 300
Answer: m<WXY = (105 – 55)/2 = 25°
Find m<WXY.
W
X Y
Z
105°
55°
200°
Secants, Tangents, Angles - 400
Answer: m<LJK = (40 + 170)/2 = 105º
Find m<LJK
150º
H
I
L
K
J
N M
40º
110º 20º
40º
Secants, Tangents, Angles - 500
Answer: 4x + 6x + 11x - 5 + 20x + 10 + 150 = 360,so x = 5. Then mKN = 110 º and mIM = 20º,so m<H = (110 - 20)/2 = 45 º
Find m<H
H
I
L K
J
N M
(11x - 5)º
(20x + 10)º(4x)º
(6x)º
150º
110º
20º
Segments in Circles - 100
Answer: 6·3 = 9x, x = 2
Find x.
D C
A
B
C
6
39
x
Segments in Circles - 200
Answer: 62 = 4(4 + x), x = 5
Find x. R
S
T U
6
x4
Segments in Circles - 300
Answer: 4(4 + x) = 3(8), x = 2
P
Find x.
O
N M
L
5
3
4 x
Segments in Circles - 400
Answer: x·x = 16 ·4, x = 8
Find x.
C
A B
C
4
16
x
D
Segments in Circles - 500
Answer: x(x + x) = 5(19.6),2x2 = 98, so x = 7
Find x.
H
G F E
14.6 5
x x
I
Equations of Circles - 100
Answer: (4, -5)
What are the coordinates of the center of a circle with equation (x – 4)2 + (y + 5)2 = 16
Equations of Circles - 200
Answer: √34 = 5.8
What is the radius of a circle, as a decimal to the nearest tenth, with equation: (x – 4)2 + (y + 5)2 = 34.
Equations of Circles - 300
Answer: (x + 1)2 + (y + 2)2 = 9
Write the equation for circle K.
K
Equations of Circles - 400
Answer: (x – 1)2 + y2 = 25
Find the equation of circle P.
P
Equations of Circles - 500
Answer: The center of the circle is (1, 0) and the radius is 2. The easiest way to find the coordinates of a point on the circle would be to move 2 units above (1, 2), below (1, -2), left (-1, 0), or right (3, 0) of the center.
Name the coordinates of a point on the circle with equation (x – 1)2 + y2 = 4
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