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XY is a tangent to two circles of radii 12cm and 4 cm respectively.If the circles touch each other Find the area of the region bounded by the circles and tangents. Note No figure is given.
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Answer:
Construct EC || AB
AB= 15cm = EC
AD = 12cm
CB = 4cm
DE = 12-4 = 8
Tangent is perpendicular to radius
ABCE is rectangle and DEC is a right angled triangle
So DC ^ 2 = DE ^ 2 + EC ^ 2
DC = 17
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