Concept explainers
To find the locus of midpoints of all chords that can be drawn from a given point of a given
Answer to Problem 11PSB
An inscribed circle that has a radius of half the radius of the circle and is tangent at the given point, but excludes the given point.
Explanation of Solution
Given:
The given point and given circle.
Calculation:
The following figure shows the locus of midpoints of all chords that can be drawn from a given point of a given circle.
The chords are drawn from the fixed point B and the red points are the mid points of the all the chords. These midpoints form a circle which represent the locus and also note that Point B should be excluded from the locus of the points.
Chapter 14 Solutions
Geometry For Enjoyment And Challenge
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