Mathematics

Problem

A circular park has two parallel straight paths along chords

AB

and

CD

. Chord

AB

20\,\text{m}

long, chord

CD

16\,\text{m}

long, and the perpendicular distance between the two chords is

3\,\text{m}

. What is the radius of the park (to the nearest metre)? a)

10\,\text{m}

13\,\text{m}

11\,\text{m}

12\,\text{m}