Answer: He will need 20 feet of fabric .
Step-by-step explanation:
Given: circumference of cushion = 7.85 feet.
Since , circumference = [tex]2\pi r[/tex] , where r = radius.
[tex]\Rightarrow\ 2\times3.14\times r=7.85\\\\\Rightarrow\ r=\dfrac{7.85}{6.28}\\\\\Rightarrow\ r=1.25[/tex]
Area of each piece = [tex]\pi r^2[/tex]
[tex]=3.14\times(1.25)^2=4.90625$\approx5\text{ feet}[/tex]
Area of 2 pieces = 2 x 5 feet = 10 feet
Area for 2 cushions = 2 x (Area of 2 pieces)
= 2 x 10 feet = 20 feet
He will need 20 feet of fabric .
