The distance between the centres of two circle of radius 4cm, 2cm, and 7cm, then circles are??
(a) touch internally
(b) touch exeternly
(c) Intersecting
(d) with same Centre
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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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