Circle problem

Geometry Level pending

Let AD be diameter of a circle of radius r, and let B,C be points on the circle such that AB=BC=r/2 and A is not equal to C. Find CD/r.


The answer is 1.75.

Rajdeep Brahma by rajdeep brahma , 21, India

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1 solution

Rajdeep Brahma
Mar 28, 2017

Apply cosine rule in triangle AOB to get cos<AOB=7/8. So,<COD=180-2<AOB, cos<COD= − 17 32 \frac{-17}{32} , Again apply cosine rule in triangle COD to get C D r \frac{CD}{r} =7/4=1.75.

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