A is the centre of circle whose radius is 8 and B is the

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A is the centre of circle whose radius is 8 and B is the centre of a circle whose diameter is 8. If these two circles touch externally, then the area of the circle with diameter AB is

1. 36π
2. 64π
3. 144π
4. 256π

Correct Option: A

Using Rule 14,

Diameter = AB = 8 + 4 = 12 units

Radius =	12	= 6 units
	2

∴ Area of circle = πr² = π × 6²
= 36π sq. units