# Unit 10 Circles Practice Test ```Unit 10 Circles Practice Test.
1. Identify all tangents for circle O.
F H

A
G

O

C

B
D

E
2. Define a chord of a circle.
3. AB is tangent to
tenth.
A
O at A (not drawn to scale). Find the length of the radius r, to the nearest
11
B
3
r
O

4. Find m PQ in A. Drawing is not to scale.
b2 y  5g

P
Q
A
S
b g
y  25

R
5. Given circle O with radius 20 and OC = 12. Find the measure of AB .
C
A
B
O

6. Find m BC and m  D.
7. Given: m  X = 100&deg;; WZ  YZ ; m  Y = 100&deg;
X
W
Y
Z
Refer to the diagram to find the measure of each of the following:
A.  Z
B. WZ
C.  W
D. WX


8. Find the measure of  1.
9. Find the measure of  1.
10. Write an equation that can be used to solve for x. Then solve the equation for
x.
11. Find the measure of  1.
12. Find the value of x.
9
10
25
x
13. Find the equation of the circle with center (5, –2) and radius of 2.
14. Sketch the graph of ( x – 4) 2  ( y  3) 2  25 . Label the coordinates of the center and the
intercepts.
y
3
–2
10 x
–9
15. Determine the locus of all points that are 4 units from the origin and on a line with slope –1
and y-intercept –4.
Reference: [10.1.1.1]
 CE
Reference: [10.1.1.3]
 A chord of a circle is a segment with endpoints on the circle.
Reference: [10.1.2.19]
 18.7
Reference: [10.2.1.30]
 55 
Reference: [10.2.2.38]
 32

Reference: [10.3.1.51]
 m BC = 80&deg;, m  D = 40&deg;

Reference: [10.3.2.56]
 A. m  Z = 80&deg; B. m WZ = 100&deg;
Reference: [10.4.1.62]
 70&deg;
Reference: [10.4.1.63]
 121&deg;
Reference: [10.4.2.64]
1
 36 x  65 , x = 94&deg;
2
b g
Reference: [10.4.2.74]
C. m  W = 80&deg;

D. m WX = 100&deg;
 68&deg;
Reference: [10.5.1.78]
7
 27
9
Reference: [10.6.1.82]
2
2
 x  5  y  2  4 
b gb g
Reference: [10.6.2.89]

y
3
0, 0
8, 0
–2
10 x
4, - 3
0, - 6
–9
Reference: [10.7.2.98]
 The solutions are (0, –4) and (–4, 0).
y
10
10 x
–10
–10
```