Question

26. Two circles touch each other internally.. Distance between their centre is 10 cm.If the radius of one circle is 15 cm, then find the radius of other circle.​

Answer 1

Step-by-step explanation:

Answer :

Distance between their centres is 25 cm or 5 cm .

Solution :

Let the radii of the circles be r1 and r2

r1=10cm and r2=15cm

By theorem of touching circles, the centres and point of contact are collinear . Here there can be two cases.

Case 1:

The circles touch each other externally

Distance between their centres =r1+r2

=10+15

=25cm

Case 2 :

The circle touch each other internally

Distance between their centres =r2−r1

=15−10

=5cm

i hope it will help u

Answer 2

Answer:

Distance between their centres is 25 cm or 5 cm . By theorem of touching circles, the centres and point of contact are collinear .