Question

A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 feet .

What is the area A of the table after it is cut in half ?

Answer 1

The diameter is 6 feet, so the radius is 3 feet.
The formula to solve for the areas of a circle is
A = πr^2
So, A = (3.14)(3^2)
A = 28.26
Since the table is cut in half, divide the total answer by 2
A = 14.13

Answer 2

`4.5\pi\approx 14.14` square feet.

Explanation:

We have been a table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 feet .

When we will cut the round table into half, it will result in a semicircle.

The area of half the table will be equal to area of semicircle. We know that area of semicircle is half the area of circle.

`\text{Area of semicircle}=(\pi r^2)/(2)`

`A=(\pi(3)^2)/(2)`

`A=(9\pi)/(2)`

`A=4.5\pi`

`A\approx 14.14`

Therefore, the area of the table would be
`4.5\pi\approx 14.14` square feet.