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circle of radius "r" is inscribed in a quarter circular region OPQ. the inscribed circle has chord(≠diameter) & P-A-B-Q. then find length of chord AB

circle of radius "r" is inscribed in a quarter circular region OPQ.


the inscribed circle has chord(≠diameter)


& P-A-B-Q.


then find length of chord AB

Grade:10

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear ajinkya bhole


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R = r+r√2

PQ =R√2

     =2r +r√2

OD =DQ=PQ/2  =r +r/√2

PD =OD -OP

    =r +r/√2  -r√2  = r -r/√2

so AB=2AD =2√(r2 -PD2)

                  put the value of PD and find AB

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