Practice with Angles in Circles
 - Central and Inscribed Angles
Topic Index | Geometry Index | Regents Exam Prep Center


Solve the following problems dealing with angles in circles.
 (Do not assume diagrams are drawn to scale.)

1.

Given the labeled diagram at the left, with diameter .

Find x.

Choose:

59
 44
 43
 34

 




 

2.

Given circle with center indicated.

Find x.

Choose:

55
 70
110
 290



 

3.

Given circle with center indicated.

Find x.

Choose:

36
 54
90
 108

 

 

4.

Given diameter.

Find x.   

Choose:

28
 56
62
 124

 

 

5.

Given circle with center indicated.

Find x.   

Choose:

25
 50
100
 125

 

 

6.

Given circle with center indicated and


Find x.

Choose:

24
 48
 72
 96

 

 

7.

Given diameter

Find x.     

Choose:

45
 60
 90
 180

 

 

8.

Given circle with center indicated and inscribed quadrilateral.

Find x and y 

Choose:

x = 75, y = 94
 x = 94, y = 75
 x = 86, y = 105
 x = 105, y = 86

 

 

9.

Given circle with center indicated.

Find x.

Choose:

x = 100
 x = 80
 x = 50
 x = 40

 

 

10.

Given diameter

Find x.   

Choose:

x = 37
 x = 53
 x = 74
 x = 90