Question

Morgan is reupholstering an old chair with two circular cushions. Each cushion has a circumference of 7.85 feet. He will need two pieces of fabric for each cushion. How many square feet of fabric will he need to cover the cushions? Use pie=3.14 and round to the nearest square foot.

Answer 1

20 ft^2 is correct

Explanation:

Have a great day

Answer 2

Answer: He will need 20 feet of fabric .

Explanation:

Given: circumference of cushion = 7.85 feet.

Since , circumference =
`2\pi r` , where r = radius.

`\Rightarrow\ 2*3.14* r=7.85\\\\\Rightarrow\ r=(7.85)/(6.28)\\\\\Rightarrow\ r=1.25`

Area of each piece =
`\pi r^2`

`=3.14*(1.25)^2=4.90625$\approx5\text{ feet}`

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 .