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CIRCLES

PROBLEM 1

 

 

 

 

 

 

 

 

 

 

 

 

PROBLEM 2

 

 

 

 

 

 

 

 

 

SOLUTION

 

 

 

 

 

 

 

 

 

 

 

 

PROBLEM 3

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

PROBLEM 4

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

PROBLEM 5

 

 

 

 

 

 

 

 

 

 

 

 

SOLUTION                                                                                                                                                                                                                                                                                                                                                                                                               

 

 

 

 

 

 

 

 

PROBLEM 6

 

 

 

 

 

 

 

SOLUTION

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

SOLUTION

 

 

 

 

 

 

 

 

 

 

 

 

PROBLEM 8

In the figure below, find

 

 

 

 

 

 

 

 

 

 

 

 

SOLUTION

 

PROBLEM 9

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

SOLUTION

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

PROBLEM 10

In the figure below, determine the angle marked y (U.M.E 1984, Question 36)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

SOLUTION

 

PROBLEM 13

 

 

 

 

 

 

 

 

 

 

 

SOLUTION

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

PROBLEM 14

 

 

 

 

 

 

 

 

 

 

 

 

 

SOLUTION