## Dhaka Higher Secondary 2011/6

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### Dhaka Higher Secondary 2011/6

One circle is touching another circle internally. The inner circle is also tangent to a diameter of the outer circle which makes an angle of $60 {\circ}$ with the common tangent of the circles. Radius of the outer circle is 6, what is the radius of the inner circle?

### Re: Dhaka Higher Secondary 2011/6

*"Go down deep enough into anything and you will find mathematics." ~Dean Schlicter*