Two circles of radii 7.2 cm and 4.6 cm touches internally. What is the distance between their centres?
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Answer:
A and B are the centres of outer and inner circles.
BC=4 cm and AO=6 cm
∴AC=OC−OA
=(8−6)cm=2 cm
Longest chord is DE or DC
DC
2
=AD
2
−AC
2
=6
2
−2
2
=32
∴DC=4
2
∴DE=8
2
cm.
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