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A B C D is a quadrilateral such that /D=...

`A B C D` is a quadrilateral such that `/_D=90^0dot` A circle `C(O , r)` touches the sides `A B ,B C ,C Da n dD A` at `P ,Q , R a n dS` respectively. If `B C=38 c m ,C D=25 c ma n dB P=27 c m ,` find `rdot`

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`BP=27` given
`BP=BQ` ( tangents on the circle from external point B) `:. BQ=27`
`BC=38` given
`:. QC=BC-BQ`
`:. QC=38-27=11`
. `QC=CR` ( tangents on the circle from external point C)
`:.CR=11`
...
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