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

Answer:

$4.5\pi\approx 14.14$ square feet.

Step-by-step 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.

$\text{Area of semicircle}=\frac{\pi r^2}{2}$

$A=\frac{\pi(3)^2}{2}$

$A=\frac{9\pi}{2}$

$A=4.5\pi$

$A\approx 14.14$

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