Math CentralQuandaries & Queries


Question from Dakota, a student:

If the diameter of a circle is 48 cm, find the shortest distance from a chord of length 34 cm to the center of the circle

Hi Dakota,

In my diagram the chord is AD, C is the center of the circle and B is the midpoint of the chord.


Angle ABC is a right angle. an you see why? The length of CB is the shortest distance from C to the chord. Can you see why?

What does Pythagoras theorem tell you?


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