Question

two concentric circles with Centre O have a b c d as the points of intersection with the line l as shown in figure 15.40 if a d is equal to 12 cm and BC is equal to 8 cm find the length of Ab CD AC and BD​

Answer 1

Answer:

Draw a⊥OM to l

OM⊥BCandOM⊥AD

We know that perpendicular lines to a chord which pass through center bisect the chord

⟹BM=MC=

2

1

BC=4 cm

⟹AM=MD=

2

1

AD=6 cm

AB=CD=AM–BM=6–4=2 cm

AC=BD=AB+BC=2+8=10 cm.