Circle Theorems

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Question 5

Points $P$ , $Q$ , $R\,$ and $S\,$ are points on the circumference of a circle, centre $O$ . Chords $P Q$ , $QR$ , $R S$ , and $SP\,$ are drawn to form a cyclic quadrilateral $P QR S$ . Radii $OP\,$ and $OR\,$ are drawn.

Angle $2y^\circ$

Find the size of angle $P S R$ , in terms of $y$ . Give reasons for each stage of your working.

[3]

Circle Theorems

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

Question 5

Points $P$ , $Q$ , $R\,$ and $S\,$ are points on the circumference of a circle, centre $O$ . Chords $P Q$ , $QR$ , $R S$ , and $SP\,$ are drawn to form a cyclic quadrilateral $P QR S$ . Radii $OP\,$ and $OR\,$ are drawn.

Angle $2y^\circ$

Find the size of angle $P S R$ , in terms of $y$ . Give reasons for each stage of your working.

[3]

Circle Theorems

Question 5

Circle Theorems Questions

Circle Theorems

Question 5

Circle Theorems Questions