Q2 of 59 Page 58

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

Given: Two circles are touching each other externally


We know that if the circles touch each other externally, distance between their centres is equal to the sum of their radii.


⇒distance between their centres = 5.5 cm + 4.2 cm = 9.7 cm


More from this chapter

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4

What is the distance between two parallel tangents of a circle having radius4.5 cm ? Justify your answer.

 1

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

 3

If radii of two circles are 4 cm and 2.8 cm. Draw figure of these circles touching each other –

(i) externally


(ii) internally.


 4

In fig 3.27, the circles with centres P and Q touch each other at R. A line passing through R meets the circles at A and B respectively. Prove that -

(1) seg AP || seg BQ,


(2) ∆ APR ~ ∆ RQB, and


(3) Find ∠ RQB if ∠ PAR = 35°