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 Form 3 Mathematics Angle Properties of a Circle Questions and Answers

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, RST=500 and RTV=1500.
figcircle17420201050.JPG
(a) Calculate the size of:
(i) ORS
(ii) USP
(iii) 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

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