Question

one of the two circles touches the other internally. if their radii are 7cm and 4 cm find the distance between their centres.

Answer 1

Hello Mate!

Given : Radii of two circles who touch each other internally has radii of 7 cm and 4 cm.

To find : Length of AB.

Solution : This means that, length of

BC = 4 cm and AC = 7 cm.

Now we know that,

AC - BC = AB

Hence, 7 cm - 4 cm = AB

3 cm = AB.

Hence length of distance between centers if two circles is 3 cm.

Have great future ahead!

Answer 2

As two circles touch each other internally

that means they have common tangent at P

So normal at p will pass through both the centers.

So Radii of bigger circle = AP = 7cm

Radii of smaller circle = BP = 4 cm

As distance between centres is AP -BP

So 7 -4 = 3 cm

So distance between centres is 3cm.


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