Answer:
The diameter of the prize wheel is 2 feet.
Step-by-step explanation:
Given,
Area of the prize wheel = [tex]3.14\ feet^2[/tex]
Since the prize is a wheel and wheel is in the shape of circle.
So we use the formula of area of circle to calculate the radius.
[tex]Area\ of\ circle = pi\times radius^2[/tex]
Let the radius of the circle be x.
On substituting the value of area and radius, we get;
[tex]3.14= pi\times x^2\\3.14=3.14\times x^2\\\\x^2=\frac{3.14}{3.14} =1\\\therefore x= \sqrt{1} =1[/tex]
So the radius of the circle = 1 feet
And we know that the diameter is twice of radius of the circle.
[tex]Diameter=2\times radius=2\times1=2\ feet[/tex]
Thus the diameter of the prize wheel is 2 feet.