Question

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Answer 1

Answer:7.35 cm

Step-by-step explanation:Finding the radius -

Given - diameter = 3 cm, so radius = 3/2 = 1.5 cm

Given - diameter = 4 cm, so radius = 4/2 = 2 cm

Given - diameter = 6 cm, so radius = 6/2 = 3 cm

Finding the length of MB -

Radius of 2 circles = 3 cm and 2 cm

PS = 2 + 3 = 5 cm.

SR = 3 - 2 = 1 cm .

∆ PRS is a right angle triangle -

Finding the length of PR^2 -

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Finding the length of AM -

Radius of 2 circles = 1.5 cm and 2 cm

OP = 1.5 + 2 = 3.5 cm

PQ = MN - PN - MQ = 6 - 2 - 1.5 = 2.5

PQ = 2.5 cm

∆ OQP is a right angle triangle .

Finding the length of OQ^2 -

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Finding the length of AB -

AB = MB + AM

AB = MB + AM

AB = 4.9 + 2.45

AB = 7.35 cm.

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