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.

Answer 1

A = C²/(4π)
.. = (4.71 ft)²/(4π)
.. ≈ 1.8 ft²

Cory will need about 1.8 ft² of plastic.

Answer 2

Plastic required to cover the tabletop with circumference 4.71 is equals to 1.8 square feet.

What is circumference of a circle?

" Circumference of a circle is the total distance covered around the circle."

Formula used

Circumference of a circle = 2πr

Area of a circle = πr²

According to the question,

Circumference of a circle = 4.71 feet

⇒2πr = 4.71

⇒ r = $\frac{4.71}{2\pi }$

Area of a circle = $\pi (\frac{4.71}{2\pi })^{2}$

                          = 1.76625

                          = 1.8 square feet ( nearest tenth)

Hence , plastic required to cover the tabletop with circumference 4.71 is equals to 1.8 square feet.

Learn more about circumference of a circle here

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