PLease show all work
CIRCLESUNIT PRACTICE PROBLEMS
Y
X
C
D
O
B
A
YX
C
D
O
B
A
C
O
A
B
1. OX OY .
OX = 15
5 5XB x
7 5CD x
a. Solve for x.
b. Find AB.
c. Find the length of the radius
2. 24AB CD .
The radius of circle O is 15.
2 7OX a .
a. Find OY.
b. Solve for a .
3. 8OA
100m AB
4 4m BOC x
a. Solve for x.
b. Find the length of AB
c. Find the area of sector AOB
CIRCLES UNIT PRACTICE PROBLEMS
O
A
B
C
D
C
OA
B
4. AB = 6
BC = 8.
a. Find the length of the radius
b. Find the area of the semicircle
5. The radius of a circle is 50. The distance from
the center of the circle to a chord on the circle
is 14.
a. Draw a diagram to represent this
information.
b. Find the length of the chord.
6. The length of a chord is 10. The distance from
the center of the circle to a chord on the circle
is 12.
a. Draw a diagram to represent this
information.
b. Find the length of the radius.
7. 80m B .
145m AD
58m AB
a. Find mCD .
b. Find m D .
c. Find mBC
CIRCLES UNIT PRACTICE PROBLEMS
8. The distance between the centers of two circles
is 39. The radius of one circle is 30. The
radius of the other circle is 15. The two circles
have a common external tangent.
Find the length of the common external tangent.
9. The radius of one circle is 12. The radius of
the other circle is 3. The length of their
common external tangent is 12.
Find the distance between the centers of the circles.
10. The distance between the centers of two circles
is 30. The radius of one circle is 9. The radius
of the other circle is 15. The two circles have a
common internal tangent.
Find the length of the common internal tangent.
CIRCLES UNIT PRACTICE PROBLEMS
K L
AW
O
N
E
C
S
T
N
E
C
S
T
11. WK = 11, WA = 9, and AL = 10. Find KL.
12. 20m SCT
23m ETN
a. Find mEN
b. Find mST
c. Find m TES
13. SE = 2
TN = 11
NC = 5
Find EC.
CIRCLES UNIT PRACTICE PROBLEMS
62
70
x
125
K
F
G
30
40
x
14. Solve for x :
15. Solve for x:
16. Find m K :
17. Find x :
40
62
143
164 112
x
210
x
x
CIRCLES UNIT PRACTICE PROBLEMS
BE
D
C
A F
BE
D
C
A F
18. Find x :
19. AB = 5
BC = 4
Find CD
20. ( 2)AE x
5EB
8ED x
2EF
a. Solve for x.
b. Find AB.
c. Find DF.
24
x
CIRCLES UNIT PRACTICE PROBLEMS
E
O
A
B
C
D
21. A circle with a radius of 13 is circumscribed
about a rectangle ABCD. AB = 24.
a. Draw the circle and rectangle.
b. Find BC.
22. 2AE x
2 1EB x
CE x
4ED x
a. Solve for x.
b. Find AB.
c. Find CD.
23. AB CD .
4 20m AB x
3 35mCD x
Find m AOB
C
D
O
A
B
CIRCLES UNIT PRACTICE PROBLEMS
24. FE = 6
CD = 9
BE = 4
a. Find A
B
b. Find D
E
DC
B
F
E
A
25. Given: C
Y
AN a. Solve for x
3 10AFN x b. Find measure of C
5 14C x c. What is the measure of arc AN
F
A
N
C
Y
CIRCLES UNIT PRACTICE PROBLEMS
26.
Given:
is isosceles, with base .
Circle , ,
ABC AC
P PQ AB PR CB
Prove: is isoceles.PQR
Statements Reasons
27.
Given: Circle O, XA YB
Prove: XAE YBE
Statements Reasons
A
C
B
Q
R
P
Y
A
B
E
X
