Name: __________________________
Honors Geometry – Test 10 Review: Circles
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Identify Parts of Circles
Arcs and Central Angles
Similar and Congruent Circles and Arcs
Arc Length and Circumference
Areas of Circles and Sectors
Inscribed Angles and Polygons
Properties of Tangents
Equations of Circles
1. Name a point, line, or line segment that fits the following descriptions. There may be
more than one possible answer, but only one answer is needed.
a. Center
b. Radius
c. Chord
d. Diameter
e. Secant
f. Tangent
g. Point of tangency
h. Common tangent
2. PR and QS are diameters of U . Find the following arc measures. Then state whether
the arc is a minor arc, major arc, or semicircle.
a. mTS =
b. mTPS 
c. mRSQ =
d. mPQR =
e. mRQ =
3. Are all circles similar? Explain why or why not.
4. Determine whether or not AB and CD are congruent. Explain why or why not.
a.
b.
c.
5. Find the …
circumference
6. In
circumference
D , EDF  FDG . Find the following.
a. length of FG
b. length of EHG
radius
7. Find mAB .
8. Find the area of the shaded region. Show your work. (continues to next page)
a.
b.
c.
d.
e.
f. (each segment is 3 ft)
g.
125°
3ft
9. Find the area of
10. Find the radius of
S.
H.
11. Find the following measures. (continues to next page)
a. mA
d. mBC
b. mB
e. mST
f.
c. mA
12. Find the values of the variables.
mBC
13. Find the values of the variables.
14. Determine if AB is tangent to
C . Explain why or why not.
A
5
C
12
13
B
15. Determine if AB is tangent to
C . Explain why or why not.
16. Find the values of the variables. Show your work. (continues to next page)
a.
b.
c. K and M are points of tangency
d. K and M are points of tangency
8 x 2  3x  2
3x  30
17. Write the equations of the circles described or shown.
a. center:  2, 4  , radius 7
b. center:  3, 1 , radius
7
c. see graph
d. center:  8, 1 , point on the circle:  4, 2 
d. see graph
18. Identify the center and radii of the following circles, then graph. Label your scale.
a.
x 2  y 2  16
center:
radius:
b.
 x  4   y  1
2
2
9
center:
radius:
c.
x 2   y  2   36
2
center:
radius:
d.
 x  3   y  5 
2
center:
radius:
2
 25