Answer:
7 ft
Step-by-step explanation:
The circumference of a circle is given by the formula ...
C = 2πr
The curved portion of a semicircle will be ...
C/2 = (2πr)/2 = πr
The straight portion of the semicircular shape will be the diameter, or 2r. That means the total perimeter of a semicircular shape is ...
P = πr +2r = r(π+2)
Then the radius is ...
r = P/(π+2) = (35.98 ft)/(3.14+2) = 7 ft
The radius of the patio is 7 ft.
