1) Find the value of the angle X , and when required Y , in each of...

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1) Find the value of the angle X° , and when required Y° , in each of the following diagrams, in which • indicates the centre of the circle:

(a) (d) 160 (110% (b) 30 Lo [58 d (c) 175

2) In the following diagram, AC = BC and O is the centre of the circle. Determine angle ABC.

A 112 B

3) In the following diagram, O is the centre of a circle of radius 7 cm. AB is a chord of the circle and is of length 10 cm. Calculate the perpendicular distance from the centre to the chord.

B

4) A chord is draw in a circle of radius 5 cm. If the perpendicular distance from the centre of the circle to the chord is 4 cm, determine the length of the chord.

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