What is the exact circumference of a circle with an area of 144 times pi square feet

Area=pi times r^2
circumference=2pi times r

we are given
area=144pi ft^2
therefor
area=pi r^2
144pi=pir^2
divide both sides by pi
144=r^2
squre root both sides
12=r

subsitute
circunference=2pi r
circunference=2 times pi times 12
circumference=24pi

answer is 24pi ft
if you were to aprox pi to 3.14 and multiply you would get 75.36 ft

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle XYZ the cosine of 70 degrees is equal to divide the adjacent side to angle of 70 degrees (XY) by the hypotenuse (XZ)

so

substitute the given value