GEOM                                          PRACTICE CH 12

Multiple Choice
Identify the choice that best completes the statement or answers the question.

Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x. (Figures are not drawn to scale.)

____	1.	 111

a.	291	b.	69	c.	55.5	d.	222	

____	2.	 12

a.	78	b.	39	c.	102	d.	24	

____	3.	 is tangent to circle A at B and to circle D at C (not drawn to scale). 
AB = 7, BC = 18, and DC = 5. Find AD to the nearest tenth.

a.	18.7	b.	18.1	c.	21.6	d.	19.3	

____	4.	A chain fits tightly around two gears as shown. The distance between the centers of the gears is 20 inches. The radius of the larger gear is 11 inches. Find the radius of the smaller gear. Round your answer to the nearest tenth, if necessary. The diagram is not to scale.

a.	17.2 inches	b.	6.2 inches	c.	11 inches	d.	4.8 inches	

____	5.	 and  are all tangent to O (not drawn to scale). JA = 9, AL = 10, and 
CK = 14. Find the perimeter of .

a.	66	b.	38	c.	46	d.	33	

____	6.	Pentagon RSTUV is circumscribed about a circle. Solve for x for RS = 10, ST = 13, 
TU = 11, UV = 12, and VR = 12. The figure is not drawn to scale.

a.	4	b.	8	c.	11	d.	6	

Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.

____	7.	, , FG = 40, RS = 37, OP = 19

a.	27.2	b.	18.5	c.	19	d.	20.5	

____	8.	, , , MN = 6 feet

a.	12 ft	b.	36 ft	c.	6 ft	d.	3 ft	

____	9.	
a.	13	b.	26	c.	77	d.	38.5	

____	10.	
a.	8	b.	5	c.	6	d.	10	

____	11.	
a.	21.9	b.	181.3	c.	24	d.	13.5	

____	12.	 and  are diameters. Find the measure of arc ZWX. (The figure is not drawn to scale.)

a.	226	b.	275	c.	39	d.	321	

____	13.	The circles are congruent. What can you conclude from the diagram?

a.	arc CAB  arc FDE	c.	arc AB  arc DE	
b.	arc DF  arc AC	d.	none of these	

Use the diagram.  is a diameter, and . The figure is not drawn to scale.

____	14.	Find m(arc BD) for m(arc AC) = 43.
a.	137°	b.	133°	c.	86°	d.	47°	

____	15.	The radius of circle O is 18, and OC = 13. Find AB. Round to the nearest tenth, if necessary. (The figure is not drawn to scale.)

a.	12.4	b.	3.8	c.	24.9	d.	44.4	

____	16.	mR = 22. Find mO. (The figure is not drawn to scale.)

a.	68	b.	22	c.	158	d.	44	

____	17.	Find the measure of BAC. (The figure is not drawn to scale.)

a.	57	b.	28.5	c.	33	d.	114	

____	18.	Find x. (The figure is not drawn to scale.)

a.	92	b.	44	c.	23	d.	46	

____	19.	Find mBAC. (The figure is not drawn to scale.)

a.	114	b.	57	c.	132	d.	33	

____	20.	If m(arc BY) = 40, what is mYAC? (The figure is not drawn to scale.)

a.	140	b.	100	c.	70	d.	80	

____	21.	In the circle, m(arc AD) = 94, and mD = 76. Find mDCQ. 
(The figure is not drawn to scale.)

a.	57	b.	95	c.	190	d.	114	

____	22.	Find mD for mB = 50. (The figure is not drawn to scale.)

a.	80	b.	130	c.	65	d.	160	

Write the standard equation for the circle.

____	23.	center (2, 7), r = 4
a.	(x – 7) + (y – 2) = 16	c.	(x – 2) + (y – 7) = 16	
b.	(x – 2) + (y – 7) = 4	d.	(x + 2) + (y + 7) = 4	

____	24.	center (–6, –8), that passes through (0, 0)
a.	(x – 6) + (y – 8) = 10	c.	(x + 6) + (y + 8) = 14	
b.	(x – 6) + (y – 8) = 196	d.	(x + 6) + (y + 8) = 100	

____	25.	Find the center and radius of the circle with equation (x + 9) + (y + 5) = 64.
a.	center (5, 9); r = 8	c.	center (–9, –5); r = 64	
b.	center (9, 5); r = 64	d.	center (–9, –5); r = 8	

____	26.	
Write the standard equation of the circle in the graph.

a.	(x – 6) + (y – 1) = 32	c.	(x – 6) + (y – 1) = 16	
b.	(x + 6) + (y + 1) = 32	d.	(x + 6) + (y + 1) = 16	

GEOM                                          PRACTICE CH 12
Answer Section

MULTIPLE CHOICE

	1.	B

	2.	A

	3.	B

	4.	D

	5.	A

	6.	A

	7.	D

	8.	D

	9.	C

	10.	D

	11.	D

	12.	A

	13.	C

	14.	A

	15.	C

	16.	D

	17.	B

	18.	C

	19.	B

	20.	C

	21.	A

	22.	A

	23.	C

	24.	D

	25.	D

	26.	D