Chapter 14, Problem 19RP

To determine

To describe the locus of points $2$ cm from the circle and equidistant from the end points of the diameter.

Answer to Problem 19RP

The point where the perpendicular bisector meets the two circles is the locus.

Explanation of Solution

Given:

A circle with the radius $10$ cm.

Calculation:

Thelocus of points $2$ cm from the circlewith the radius $10$ cm and equidistant from the end points of the diameter can be described as follows-

Draw two concentric circles of radius 7cm and 3cm.

Draw the perpendicular bisector of the given diameter. The point where the perpendicular bisector meets the two circles is the locus.