Geometry question about circles

Question

A chord 19 inches long lies in a circle of radius 11 inches. How far is the chord from the center of the circle? 

Answer 1

Draw and label a diagram.

Draw the chord, label the ends A and B.

Label center of circle O.

Draw OA and OB, these are radii of 11.

Draw perpendicular from O to chord. Label point on chord P.

AP and BP equal 9.5 and are legs of right triangles.

Use Pythagoras to determine OP, the distance of the chord from the center.