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Ch 10 Gateway

 1. 
In the drawing, S, U, and V are collinear
and ST is tangent to the circle at T.


                                
Using the values shown, what is the measure of mc001-1.jpg?		mc001-2.jpg
A)
16
B)
12
C)
10
D)
8
 

 2. 
Point M is the center of the circle.





What is the area of the shaded portion of the circle?		mc002-1.jpg
A)
23.1 in2
B)
31.8 in2
C)
40.5 in2
D)
63.6 in2
 

 3. 
The logo of an airline is
a circle inscribed in a triangle.








If CX = 4 and CD = 13,
then DV = __?		mc003-1.jpg
A)
9
B)
4
C)
13
D)
17
 

 4. 
A circle whose center is at (–5, –1) passes through (6, 4).
What is the length of the radius of the circle?
A)
mc004-2.jpg
B)
 mc004-3.jpg
C)
mc004-4.jpg 
D)
mc004-5.jpg
 

 5. 
Triangle RST is circumscribed about
circle B. C and D are points of tangency such that SC = 5 and TD = 9.






What is the measure of mc005-1.jpg?		mc005-2.jpg
A)
5
B)
9
C)
13
D)
14
 

 6. 
This is a sketch of a stained-glass 
window in the shape of a semicircle.


Ignoring the seams, how much glass is needed for the window?		mc006-1.jpg
A)
mc006-3.jpg sq cm
B)
mc006-4.jpg sq cm
C)
mc006-5.jpg sq cm
D)
mc006-6.jpg sq cm
 

 7. 
The measure of arc NQ is 24°.










What is the measure of mc007-1.jpgNPQ?		mc007-2.jpg
A)
6°
B)
12°
C)
24°
D)
48°
 

 8. 
In circle Z,
mmc008-1.jpg = 19°,  mmc008-2.jpg = 36°, 
mmc008-3.jpg = 19°,  and  mc008-4.jpg = 21 m.


What is the length of  mc008-5.jpg?		mc008-6.jpg
A)
11 m
B)
21 m
C)
19 m
D)
71 m
 

 9. 
Secants mc009-1.jpg and mc009-2.jpg intersect the
circle at N and Q, respectively.






What is the length of mc009-3.jpg?		mc009-4.jpg
A)
8.46
B)
10
C)
12
D)
21.67
 

 10. 
If mc010-1.jpg is a diameter of circle S,
what is mmc010-2.jpgNQR?mc010-3.jpg
A)
 30°
B)
45°
C)
80°
D)
90°
 

 11. 
The spokes on a wagon wheel form
twelve congruent central angles. 

What is the degree measure of arc mc011-1.jpg?		mc011-2.jpg
A)
30°
B)
90°
C)
120°
D)
150°
 

 12. 
If mmc012-1.jpgTGU = 44° in circle G,
what is mmc012-2.jpgTVU?mc012-3.jpg
A)
22°
B)
44°
C)
68°
D)
90°
 

 13. 
The sum of mmc013-1.jpg and mmc013-2.jpg is equal to:
mc013-3.jpg
A)
mc013-5.jpg
B)
mc013-6.jpg
C)
mc013-7.jpg
D)
120°
 

 14. 
In circle R,
the degree measure of  mc014-1.jpg  is 277°.




What is the degree measure of mc014-2.jpgSRT?		mc014-3.jpg
A)
160°
B)
85°
C)
83°
D)
42°
 

 15. 
The diameter of a circle has endpoints mc015-1.jpg and mc015-2.jpg. 
Which is closest to the length of the diameter of the circle? 
A)
14.56
B)
 14.14
C)
4.47 
D)
2.83
 

 16. 
Given mc016-1.jpg.






What is the mc016-2.jpg ?		mc016-3.jpg
A)
23°
B)
46°
C)
152°
D)
81°
 

 17. 
In the diagram,
mc017-1.jpg is tangent to the circle at point E, and mc017-2.jpg intersects the circle at points G and H.


     
What is the value of x ?		mc017-3.jpg
A)
9.5
B)
9.49
C)
10
D)
13.08
 

 18. 
The circumference of circle K is 135p.
What is the length of mc018-1.jpg?mc018-2.jpg
A)
11.25p
B)
15p
C)
45p
D)
90p
 

 19. 
Given:  Circle E with center at (–6, –5)
What equation could represent circle E?
A)
mc019-4.jpg
C)
mc019-6.jpg
B)
mc019-5.jpg
D)
mc019-7.jpg
 

 20. 
In circle H,
the degree measure
of minor arc mc020-1.jpg is --		mc020-2.jpg
    
A)
45°
B)
90°
C)
135°
D)
270°
 

 21. 
In the circle,
what is the measure of mc021-1.jpg ?mc021-2.jpg
A)
mc021-5.jpg
B)
mc021-6.jpg
C)
mc021-7.jpg
D)
mc021-8.jpg
 

 22. 
What is mc022-1.jpg in circle V ?
 mc022-2.jpg
A)
mc022-4.jpg
B)
mc022-5.jpg
C)
mc022-6.jpg
D)
mc022-7.jpg
 

 23. 
Two chords intersect with the measures
shown in the drawing.







What is the value of x?		mc023-1.jpg
A)
7.5
B)
9.5
C)
14.5
D)
18.0
 

 24. 
Click on the grid to plot the point you want to select.

Plot the center of the circle defined by the equation:          mc024-1.jpg		mc024-2.jpg
A)
(7, 8)
B)
(–7, –8)
C)
(–7, 8)
D)
(7, –8)
 

 25. 
An architect used this diagram to
design a curved balcony.  She drew a circle with a radius of 38 feet and a central angle of 66° to determine the length of railing needed for the balcony.

Which is the closest to the length of railing needed for the curved section of the balcony?		mc025-1.jpg

A)
22 ft
B)
44 ft
C)
239 ft
D)
832 ft
 



 
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