Question

the radii of two concentric circles are 17 cm ans 10 cm a line pqrs cuts the larger circle at p and s and the smaller circle at q and r. if qr= 12 cm claculate pq​

Answer 1

Step-by-step explanation:

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Answer 2

Oisthecentreoftwoconcentriccirclesofradii10cm

∴QN= 21

QR= 21 ×12cm=6cm.

Also∠ONQ=90

o

sinceON⊥QR.

SoΔOQNisarightonewithOQashypotenuse.

∴ByPythagorastheorem,weget

ON=

OQ

2 −QN 2

= 10 ²−6 ²

cm=8cm.

∴PN=

21

PS.

AgainΔOPNisarightonewithOQashypotenuse.

(sinceON⊥PS)

∴ByPythagorastheorem,weget

PN=

OP

2 −ON 2

=√ 17 ²−√8 ²

cm=15cm.

∴PQ=PN−QN=(15−6)cm=9cm.