A B0

C

B

O

A

r

L

J

K

O

C

A B

SHOW ALL WORK!!! Staple your notes or work. Name_______________________Period__ BURKE P-10 Geometry

Chapter 10Practice Test *Figures are not drawn to scale.

1. Name the minor arc and find its measure.

a. arc ADB; 230° b. arc AB; 130° c. arc AB; 230° d. arc ADB; 130º

2. Name the major arc and find its measure.

a. arc AB; 295b. arc ADB; 65c. arc AB; 295d. arc ADB; 65

3. Identify a semicircle that contains C.

a. semicircle BAC b. semicircle AC c. semicircle CBd. semicircle ACB

4. Tell whether the line, ray, or segment is best described as a radius, diameter, secant, or tangent of the circle C.

a) segment AB_____________b) segment CB _____________c) line AG _________________d) line DE _________________

5. is tangent to circle O at B. Calculate the length of the radius r for AB = 6 cm and AO = 9.8 cm. Round to the nearest tenth if necessary.

6. Tell whether AB is tangent to the circle C. Explain.

7. Points B and D are the points of tangency. Find the value of x. Find the length of AB.

8. and are all tangent to O, JA = 10, AL = 6, and CK = 8. Calculate the perimeter of

.

9. Describe and correct the error:

Because 252=72+242

∆EFD is a right triangle. So, segment FD is tangent to the circle E.

10. Describe and correct the error in naming the major arc.

BC

TARGET 10.2

TARGET 10.1

TARGET 10.3

130°D

A

B

C

65°D

A

BC

11. Identify the arc as a major arc, minor arc, or semicircle. Then find the measures of the arcs.

a) JK

b) JL

c)JHL

12. Find the indicated measure.

a) QRb) PQc) TS

13. What is the center and the radius of each circle?a) (x - 8)2 + y2 = 9b) (x + 2)2 + (y - 4)2 = 36 14. Write the standard equation of each circle.a) b)

15. Graph the circle

16. A student says that the center of a circle with equation (x - 2)2+(y + 3)2= 16 is (-2,3). What is the student’s error?

17. Calculate the circumference in terms of . a.  cm b. cm

c. cm d.  cm

18. Calculate the length of arc XPY to the nearest tenth.

19. Calculate the length of arc AB and the length of arc ACB to the nearest tenth.

20. Convert 26 to radians.

21. Convert 2 π9 radians to degrees.

22. Find the area of a circle with a radius of 6.8 feet.

23. Find the area of a circle with a diameter of 19.2 cm.

24. Calculate the radius of a circle if its area is 80cm2

25. Find the area of the sector formed by JLK.

26. Find the area of the shaded region.

27. Your class must find the area of a sector of a circle determined by 150 arc. The diameter of the circle is 6 cm. what is your classmate’s error?

sector areaπ (6)2 =150

360

sector area36 π

=150360

TARGET 10.4

TARGET 10.5

TARGET 10.6

4.3 cm

P

Y

X

18 m

360∗sector area=150∗36 π

sector area=150∗36 π360

sector area=47.1 cm2