Question

circle Y has diameter 6 and central angle XYZ=32degrees the Length of arc XZ is?

Answer 1

The circle circumference is 6 pi which is subtended by the whole circle or 360 degrees.

So you want the bit of the circle subtended by 32 degrees which is

32/360 * 6 pi or 8 pi/15.

Answer 2

1.6755160819146
http://www.ajdesigner.com/phpcircle/circle_arc_length_s.php

Answer 3

Or the above as a decimal:-)