Download Date: Period

Name: ____________________________________ Date: _______________ Period: ________ Geometry w/ Trig
Unit 9 Circles Review
Match the line, segment, or point with the term that best
describes it.
_____ 1. EF
A. Secant
_____ 2. G
B. Chord
_____ 3. HJ
C. Radius
_____ 4. BF
D. Diameter
_____ 5. A
E. Point of Tangency
_____ 6. KF
F. Common External Tangent
_____ 7. CD
G. Common Internal Tangent
_____ 8. GK
H. Center
9. Given that DF is a tangent, DG = 5 and
HF = 8, find DF.
10. BG = 8 and DF = 18. Find BC. Round to the
nearest hundredth.
11. Find x if EC and ED are tangents.
12. AD and BE are diameters. Find the indicated measure for each of the following and label as major arc,
minor arc, or semicircle.
a. mAE
b. mED
c. mBCE
d. mADE
13. Given circle C, answer the following questions.
a. Is ADB a central angle or an inscribed angle? _____________________
b. Is ACB a central angle or an inscribed angle? _____________________
c. Name the intercepted arc of ADB . ______________
d. What is mADB if mACB  92 ? _______________
e. Find x if mAB  140 and mADB  ( x  4) ? _______________
14. Solve for x.
a.
b.
c.
d.
15. AC is the diameter of the circle and AB  BC .
Find x and y.
16. Find mS.
17. a. What can you conclude about BAC and BDC ? Explain.
b. Find the value of x. Show work, including an algebraic equation.
18. a. Using the diagram to the right, complete the following theorem:
If a quadrilateral is __________________ in a circle, then its opposite angles are ________________.
b. Find the values of r, s, and t.
19. The triangle is circumscribed around the circle. Solve for x and find the perimeter.
For #20-22, round to the nearest hundredth.
20. Find the area of the shaded sector.
21. Find the length of the radius.
22. Find the area of the shaded region.
23. Find AB.
24. The radius of Circle C is 16 units long. Find the
length of the arc in Circle C with a measure of
270  . Round to the nearest tenth.
D
C 3
B
A
10
E
25. Find the circumference of a circle with an area of A  50in 2 . Round to the nearest hundredth.
26. Determine the number of common tangents for each. Draw them!
a.
b.
27. Write the equation of the circle graphed below.
c.
28. Write the equation of the circle that has its center at
(3, -2) and passes through (3, 0).
29. Write the equation of the circle x2 – 12x + y2 + 6x = 19 in standard form. Then identify the center and radius.