Length of the Strangest Path
The circumference of the circumcircle of triangle ABC is 10 cm and that of it's in-circle is 4 cm . A point P is on the circumcircle , and point Q is the mid point of chord of contact drawn from P to the in-circle . Find the length of the path followed by Q when P makes one complete round on the circumcircle.
The answer is 2.
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1 solution
the path on which ! moves is a circle of radius half of the in-radius.