ElizabethBarCar
contestada

Please help ASAP:


Lin is mak ing a window covering for a window that has the shape of a half circle on top of a square of side length 3 feet. How much fabric does she need?



I was so confused on how it was worded and really need help!! I’ll give 10 points to whoever can help me.

Respuesta :

JeanaShupp

Answer: [tex]3.6\ ft^2[/tex]

Step-by-step explanation:

Given : The side-length of the square = 3 feet

Since, Lin is making a window covering for a window that has the shape of a half circle on top of a square .

Therefore, the window covering must be a semicircle with diameter 3 feet.

Then the radius of the semicircle = [tex]\frac{d}{2}=\frac{3}{2}\ feet[/tex]

Now, area of semicircle is given by :-[tex]Area=\frac{1}{2}\pi r^2\\\Rightarrow\ Area = \frac{1}{2}(3.14)(\frac{3}{2})^2=\frac{3.14\times9}{8}=3.5325\approx3.6\ ft^2[/tex]

Answer:

Lin needs 12.53 square feet of fabric.

Step-by-step explanation:

Basically, to solve this problem we have the are of each shape and then sum.

We know that the side of the square is 3 feet length, and the semicircle is on top, that means the diameter of the semicircle is also 3 feet. Knowing this facts, we find the area.

Area of the square.

[tex]A_{square} =l^{2}\\A_{square} =(3ft)^{2}=9ft^{2}[/tex]

Area of the semicircle.

[tex]A_{semi}=\frac{\pi r^{2} }{2}=\frac{\pi (1.5)^{2} }{2} =3.53 ft^{2}[/tex]

The sum of both areas is

[tex]9ft^{2}+3.53 ft^{2}=12.53 ft^{2}[/tex]

Therefore, Lin needs 12.53 square feet of fabric.

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