If radii of two circles are $4 c m$ and $2.8 c m$ which touches externally, then find the distance between their centres.

Open in App

Solution

Circles touching externally:

Distance = 4+2.8 = 6.8 cm

Suggest Corrections

Similar questions

Q. Two circles of radii 5.5 cm and 4.2 cm touch each other externally. Find the distance between their centres.

Radii of two circles are 6.3 cm and 3.6 cm. State the distance between their centres if :

(i) they touch each other externally,

(ii) they touch each other internally.

Two circles touch externally. The sum of their areas is $130 π sq - cm$ and the distance between their centres is $14 cm$ . Find the radii of the circles.

Q. If two circles of radii

5

cm and

12

cm touch externally, then the distance between their centres is _________.

Q. Two circles of radii

5.5 c m

and

4.2 c m

touch each other externally. Find the distance between their centres.
Let the two circles having centres

P

and

R

touch each other externally at point

Q

.
Here,

P Q = 5.5 c m, Q R = 4.2 c m

The two circles touch each other externally.

∴

By theorem of touching circles,

\begin{matrix} P - Q - R P R = P Q + Q R = 5.5 + 4.2 = 9.7 c m \end{matrix}

[The distance between the centres of the circles touching externally is equal to the sum of their radii]

Join BYJU'S Learning Program

If radii of two circles are 4 cm and 2.8 cm which touches externally, then find the distance between their centres.

Circles touching externally: Distance = 4+2.8 = 6.8 cm

If radii of two circles are $4 c m$ and $2.8 c m$ which touches externally, then find the distance between their centres.

Circles touching externally:

Distance = 4+2.8 = 6.8 cm