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

Answer:

20 ft^2 is correct

Step-by-step explanation:

Have a great day

Answer 2

Answer: He will need 20 feet of fabric .

Step-by-step explanation:

Given: circumference of cushion =  7.85 feet.

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

$\Rightarrow\ 2\times3.14\times r=7.85\\\\\Rightarrow\ r=\dfrac{7.85}{6.28}\\\\\Rightarrow\ r=1.25$

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

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

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 .