A problem by Ajay Sambhriya

Level pending

The above shows a triangle ABC inside a circle.
Given that AC is the diameter of this circle, and AB has side length 6.
Find the radius of this circle to 2 decimal places.


The answer is 5.20.

Ajay Sambhriya by Ajay Sambhriya , 27, India

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2 solutions

Ajay Sambhriya
Feb 8, 2017

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Vansh Gupta
Feb 7, 2017

you can do it easily by applying the sine rule 6 s i n 30 \frac{6}{sin30} = A C s i n 120 \frac{AC}{sin120} so AC =10.4 so radius = 5.20

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