Question

The radii of the two concentric circles are 17 cm and 10 cm.(i.e OP=17 cm and OR=10cm) .A line pqrs cuts the larger circle at P and S and the smallercircle at Q and R. If R=12cm calculate PQ plz answer urgently.I have my maths preboard tomorrow

Answer 1

given op = 17 cm and or = oq=10cm
since ⊥ from the center to chord bisects the chord
mq=6cm
in triangle omq...mq=6 cm ,oq= 10cm
by pythagoras theorem
om=√(100-36)
 om=8
in triangle omp...om=8cm ,op=17 cm
by pythagoras theorem
pm=√(289-64)
pm=15cm
∴pq=pm-qm
=(15 - 6)cm
⇒9 cm ..ans

Answer 2

Answer:

given op = 17 cm and or = oq=10cm

since ⊥ from the center to chord bisects the chord

mq=6cm

in triangle omq...mq=6 cm ,oq= 10cm

by pythagoras theorem

om=√(100-36)

 om=8

in triangle omp...om=8cm ,op=17 cm

by pythagoras theorem

pm=√(289-64)

pm=15cm

∴pq=pm-qm

=(15 - 6)cm

⇒9 cm ..ans

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