Q3 of 59 Page 58

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

(i) externally


(ii) internally.


(i)


Steps of construction:


1. Draw a circle with radius 4cm and centre A.


2. Draw another circle with radius 2.8 cm and centre B such that they touch each other externally.


(ii)


Steps of construction:


1. Draw a circle with radius 4cm and centre A.


2. Draw another circle with radius 2.8 cm and centre B such that they touch each other internally.


More from this chapter

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1

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

 2

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

 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°



 5

In fig 3.28 the circles with centres A and B touch each other at E. Line is a common tangent which touches the circles at C and D respectively. Find the length of seg CD if the radii Fig. 3.28 of the circles are 4 cm, 6 cm.