Final answer:
The circumference of the circle is 14π².
Step-by-step explanation:
The formula for the area of a circle is A = πr², where A is the area and r is the radius. Given that the area of the circle is 49π in², we can set up the equation:
49π = πr²
To find the circumference, we can use the formula C = 2πr. Plug in the value of r:
C = 2π × √(49π)
C = 2π × 7π
C = 14π²
The circumference of the circle is 14π².