Answer:
It will be 4 times larger
Step-by-step explanation:
The formula for circumference is
C = 2 * pi *r
The formula for area is
A = pi * r^2
If the area is increased by 16, we will call the new radius b
16A = pi b^2
Divide this equation by the old equation for area
16A = pi b^2
------ -------------
A pi r^2
Canceling
16 = (b/r)^2
Taking the square root of each side
4 = b/r
Multiplying by r on each side
4r = b
The radius increased by 4 times, or the radius is 4 times larger
This will mean that the circumference is 4 times larger
