Question

two circles of radii 6.7 and 4.5cm touch each other extremely.find the distance between their centres​

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

Let the centre of the circle be O.

AB = 12 cm

OC = 12 cm

OC ⊥ AB

We know perpendicular drawn from the centre of the circle to the chord, bisects the chord.

So, AC = 6 cm

In    ⃤ OCA, 

OC2+AC2=AO2⇒82+62=AO2⇒AO2=100⇒AO=10OC2+AC2=AO2⇒82+62=AO2⇒AO2=100⇒AO=10

Thus, AO = 10 cm

Diameter = 2 × 10 cm = 20 cm