madelinec26
contestada


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

Respuesta :

ian2006huang

Answer:

4.5π ft.^2

Step-by-step 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

Ver imagen ian2006huang
altavistard

Answer:

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

Step-by-step 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

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