Question

Jennifer painted a tabletop that is shaped like a circle. The circumference of the tabletop is 6π feet. Which measurement is closest to the area of the cover in square feet?

Answer 1

The answer may be 28.274333882308, but there were no choices given, so I don't know

Answer 2

Answer: 28 square feet.

Explanation:

Circumference of a circle with radius r is given by :-

`C=2\pi r`

Given: The circumference of the tabletop = 6π feet.

Therefore, the circumference of circle is given by :-

`6\pi=2\pi r \.\\\\Rightarrow\ r=3\ ft`

Area of circle:
`A=\pi r^2`, where r is radius of circle.

Now, Area of circle:
`A=\pi (3)^2=9\pi=28.2743338823\approx28\ ft^2`