Question : The circumferences of the two circles are touching externally. The distance between their centres is 12 cm. The radius of one circle is 7 cm. Find the diameter (in cm) of the other circle.
Option 1: 12
Option 2: 10
Option 3: 8
Option 4: 5
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Correct Answer: 10
Solution :
When two circles touch each other externally, the distance between their centres is equal to the sum of their radii.
⇒ Distance = 12 = 7 + Radius of other circle
⇒ Radius of other circle = 12 – 7 = 5 cm
So, the diameter of other circle = 2 × 5 = 10 cm
Hence, the correct answer is 10.
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