# What will be the Area of the Circle with Diameter AB? If

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

1. 36 pai
2. 64 pai
3. 144 pai
4. 256 pai
Manish Listener Asked on 17th July 2015 in

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Explanation:-

According to the question,
In the figure-

The radius of circle A = 8 cm
The diameter of circle B = 8 cm.
Then, the radius of circle B = 8/2 = 4 cm.
The diameter of new circle (C) = 8 + 4 = 12 cm
Then ,the radius of new circle (C) = 12/2 = 6 cm.
Formula –
The area of circle = pai R2
Therefore, the area of new circle (C) = (6)2 pie = 36 pie cm square.
Hence, the answer is (1)  36 pie cm square.

Anurag Mishra Professor Answered on 17th July 2015.