Answer :
The area of the circle grows by a factor of 9, and the actual area is 360
How to determine the new area?
The given parameters are:
Old area = 40
Scale factor = 3
When the circle is dilated, the new area becomes
New area = Old * (Scale factor)^2
Substitute 3 for scale factor
New area = Old * 3^2
Evaluate the exponent
New area = Old * 9
This means that the area of the circle grows by a factor of 9, and the actual area is:
New area = 40 * 9 = 360
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