Mathematics

Problem

A circle has radius

13\,\text{cm}

. A chord

CD

of the circle is at a distance of

5\,\text{cm}

from the centre. a. (i) Draw a labelled diagram showing all given information. b. (ii) Calculate the length of the chord

CD

. c. (iii) If another chord

EF

is also

5\,\text{cm}

from the centre, what can you say about the lengths of

CD

and

EF

? Give reasons for your answer.