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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

ajinkya bhole , 15 Years ago
Grade 10
anser 1 Answers
Badiuddin askIITians.ismu Expert

Last Activity: 15 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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