# Find the length of the chord and the distance between parallel chords, given their angles

The radius of a circle is 21.4 meter. Find the length of the chord subtended by a central angle of 110 degrees 40 minutes and the distance between two parallel chords on the same side of the center subtended by central angles 118 degrees 40 minutes and 52 degrees 20 minutes.

Progress: I know the radius is 21.4 meter, I set up a triangle but my final answer was wrong.

• Well I know the radius is 21.4 meter I set up a triangle but my final answer was wrong because I am not sure how to set it up. – Fernando Martinez Jul 3 '12 at 21:35
• draw perpendicular to the chord, the perpendicular will bisect the angle angle subtended at the center. – Santosh Linkha Jul 3 '12 at 21:39
• Please stop making titles that are descriptions followed by a question mark? – rschwieb Jul 3 '12 at 23:45

You have $\dfrac{a}{r} = \sin \alpha$ and $\dfrac{b}{r} = \cos \alpha$.
• @Bishop: Try working out $b$ for both chords – Henry Jul 4 '12 at 6:39