Question

Cory is lining the top of a table with clear plastic. The table has a circumference of 4.71 feet. How many square feet of plastic will he need to cover the tabletop? Use 3.14 for π and round to the nearest tenth.


Cory will need

square feet of plastic.


answer: 1.8

Answer 1

Given :- Cory is lining the top of a table with clear plastic. The table has a circumference of 4.71 feet. How many square feet of plastic will he need to cover the tabletop? Use 3.14 for π and round to the nearest tenth.

Answer :-

we know that,

• Circumference of circle = 2πr
• Area of circle = πr²

so,

→ 2πr = 4.71

→ 2 * 3.14 * r = 4.71

→ 6.28 * r = 4.71

→ r = (471/628) ft .

then,

→ Area od plastic to cover the tabletop = πr² = 3.14 * (471/628) * (471/628) ≈ 1.8 ft² (Ans.)

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Answer 2

Given:

Cory is lining the top of a table with clear plastic. The table has a circumference of 4.71 feet.

To find:

How many square feet of plastic will he need to cover the tabletop? Use 3.14 for π and round to the nearest tenth.

Solution:

Let "r" feet represents the radius of the table.

The circumference of the table = 4.71 feet

∴ $2 \pi r = 4.71$

$\implies 2 \times 3.14 \times r = 4.71$

$\implies 6.28\times r = 4.71$

$\implies \bold{r = 0.75\: feet}$

Now,

The area of the clear plastic sheet required to cover the tabletop is,

= Area of the circular-shaped top of the table

= $\pi r^2$

= $3.14 \times 0.75^2$

= $1.766\:ft^2$

rounding off to its nearest tenth

≈ $\bold{1.8\:ft^2}$

Thus, Cory will need 1.8 ft² of plastic to cover the tabletop.

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