Answer :

trampoline is in the shape of a circle 
therefore formula used to calculate the area of a circle is as follows
Area = πr²
where π - pi and r - radius 
the area of the trampoline is 49π
therefore 
49π = πr²
and we end up with 
49 = r²
r = 7 ft
diameter is twice as much as the radius
diameter = 2 x radius
since radius = 7 ft
diameters = 2 x 7 ft = 14 ft
diameter is therefore 14 ft
JeanaShupp

Answer: 14 feet

Step-by-step explanation:

We know that a trampoline has circular shape.

Let r be the radius of the trampoline.

Given: Area of trampoline = [tex]49\pi[/tex] square feet

We know that the area of a circle is given by :-

[tex]\text{Area}=\pi r^2\\\\\Rightarrow49\pi=\pi r^2\\\\\Rightarrow\ r^2=49\\\\\Rightarrow r=\pm7[/tex]

Hence, radius of trampoline = 7 feet

Then, the diameter of trampoline = 2r = 2(7)=14 feet