Question

Two circles having radii 12 cm and 5 cm touches externally then the distance between the centres of two circles is………………. 

A) 7 cm 

B) 12 cm 

C) 5 cm 

D) 17 cm

Answer 1

Correct option is (D) 17 cm

Two circles \(C_1\;\&\;C_2\) having radii 12 cm and 5 cm touches externally at point A.

\(O_1A\) = radius of circle \(C_1\) = 12 cm

and \(O_2A\) = Radius of circle \(C_2\) = 5 cm

\(\therefore\) \(O_1O_2=O_1A+O_2A\)

= (12+5) cm

= 17 cm

Answer 2

Correct option is  D) 17 cm