ANGLE SUBTENDED AT THE CENTER OF THE CIRCLE BY AN ARC WORKSHEET

In each of the following figures, O is the center of the circle. Calculate the values of x and justify your answer.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

P, Q and R are points on the circumference of a circle, center O. Angle PRQ = 64, SP and SQ are tangents to the circle at the points P and Q respectively. Work out the size of angle.

i) ∠PSQ     ii)  ∠POS        iii)  ∠QSO

Solution