Question

A small circle is drawn in another larger circle such that they do not touch each other. The radius of the larger circle is 13 cm and that of the smaller circle is 7 cm. If the least distance between their circumferences is 2 cm, then the distance between their centres’ is

Answer 1

Answer:

4 cm

Step-by-step explanation:

in the fig

red dot is centre of outer circle and yellow dot centre of inner circle

red line is 2 cm (least distance between circumference

green line is 7 cm ( radius of small circle)

yellow line is 13 cm ( radius of outer circle)

so distance between centres

=yellow line -(green + red line). {u can consult the fig}

or

=13-(7+2)=13-9=4

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