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kodGreya [7K]
3 years ago
14

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 fee

t .
What is the area A of the table after it is cut in half ?
Mathematics
2 answers:
andrew-mc [135]3 years ago
7 0
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
KIM [24]3 years ago
6 0

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.

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