Question

PLS HELP MY WHOLE GRADE IS DEPENDING ON THIS 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?
Give your answer in terms of pi.
А=____feet2

Answer 1

4.5π ft.^2

Explanation:

Please see the attached image.

The area of a circle is the radius of the circle squared times pi.

The diameter of the round top is 6.

The radius of a circle is equal to half the diameter, so 6/2=3.

Knowing the radius of the table is 3, we can find the area by doing

3^2π=9π

9π is the area of the table, so to get half of that, simply divide by 2.

9π/2=4.5π

Answer: 4.5π ft.^2

Answer 2

14.1 ft^2 or In terms of pi: A = (1/2)(π)(3 ft)^2 = (9/2)π ft%2

Explanation:

We're talking about a semicircle here. "semi-" indicates "half."

Here the cut edge along the wall is 6 ft, so the radius of the semicircle is half that, or 3 ft.

The area of the semicircle is A = (1/2)(pi)(3 ft)^2 = 14.1 ft^2

In terms of pi: A = (1/2)(π)(3 ft)^2 = (9/2)π ft%2