Hushar Mulga
@Rohit
Spread the love

Two circles having radii 3.5 cm and 4.8 cm touch each other internally. Find the distance between their centres.

Chapter 3 – CIrcle- Text Book Solution

Practice Set 3.2 | Q 1 | Page 58

Two circles having radii 3.5 cm and 4.8 cm touch each other internally. Find the distance between their centres.

solution

Let the two circles having centres P and Q touch each other internally at point R.

Here, QR = 3.5 cm, PR = 4.8 cm

The two circles touch each other internally.

By theorem of touching circles,

P − Q − R

PQ = PR − QR   ......[The distance between the centres of circles touching internally is equal to the difference in their radii]

= 4.8 – 3.5

= 1.3 cm

∴ The distance between the centres of the circles is 1.3 cm.

Explanation:- 

We are given two circles with centres P and Q that touch each other internally at point R. Let QR = 3.5 cm and PR = 4.8 cm.

According to the theorem of touching circles, we have P-Q-R. Therefore, the distance between the centres of the circles is equal to the difference in their radii.

Hence, PQ = PR – QR = 4.8 cm – 3.5 cm = 1.3 cm.

Therefore, the distance between the centres of the circles is 1.3 cm.

Chapter 3 – Circle – Text Book Solution

Practice set 3.2  | Q 1 | Page 58

Click Here to see All the Textbook solution of Circle