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In the figure below P, Q, R and S are points on the circle centre O. PRT and USTV are straight lines. Line UV is a tangent to the circle at S, `angle`RST=`50^0` and `angle` RTV=`150^0`.

(a) Calculate the size of:
(i) `angle` ORS
(ii) `angle` USP
(iii) `angle` PQR
(b) Given that RT=7 cm and ST=9 cm, calculate to 3 significant figures:
(i)the length of line PR
(ii)the radius of the circle