MCQ (Unsolved Question Bank) : Circles Class 9 Notes | EduRev

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Class 9 : MCQ (Unsolved Question Bank) : Circles Class 9 Notes | EduRev

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1. In the diagram at the right, the segments shown are tangent to the circle.  Find the value of x.
(a) 5

(b) 6 

(c) 7 

(d) 9  

2. Given the circle at the right with designated center, designated perpendicular, and radius 5. Find the length of the segment labeled x.
(a) 4
(b) 5
(c) 8                    
(d)

3.  Given the circle at the right with two intersecting chords.

Find the length represented as x.
(a) 2
(b) 6

(c) 8
(d) 10   

4.  In the accompanying diagram, tangent  and secant are drawn to circle O from point A, AB = 6 and AC = 4.  Find AD.

(a) 5

(b) 9 

(c) 10

(d) 13    

5. In the accompanying diagram of circle O, m<ABC = 2x and  Find the value of x.

(a) 20

(b) 40

(c) 60

(d) 80  

6.  In the diagram at the right, secant  intersects circle O at D, secant  intersects circle O at E,  AE = 4,  AC = 24,  and AB = 16.  Find AD.

(a) 4

(b) 5

(c) 6

(d) 10  

7.  Given the circle at the right with diameter , find x.

[1]  30°

[2]  45°   

[3]  60°  

[4]  90°    

8.  Given a circle with the center indicated.  Find x. 

[1]  100

[2]  80 

[3]  50  

[4]  40    


9.  Two chords intersect within a circle to form an angle whose measure is 53°.  If the intercepted arcs are represented by 3x + 3 and 10x - 14, find the measure of larger of these two arcs.

[1]  9                    
[2]  13                

[3]  30                  
[4]  76


10. A cathedral window is built in the shape of a semicircle.  If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section?  Express answer to the nearest square foot.

[1]  1 sq. ft.            
[2]  3 sq. ft.    
[3]  13 sq. ft.          
[4]  26 sq. ft.    

 

11.  Given the two secants shown in the diagram at the right, find the number of degrees in the angle labeled x.

[1]  40°

[2]  60°  

[3]  80° 

[4]  140°    


12. Given tangent  to the circle shown at the right.  Find the size of the arc designated by x.

[1]  25

[2]  50

[3]  100

[4]  260  

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