Question

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.

Answer 1

Lin needs 12.53 square feet of fabric.

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.

`A_(square) =l^(2)\\A_(square) =(3ft)^(2)=9ft^(2)`

Area of the semicircle.

`A_(semi)=(\pi r^(2) )/(2)=(\pi (1.5)^(2) )/(2) =3.53 ft^(2)`

The sum of both areas is

`9ft^(2)+3.53 ft^(2)=12.53 ft^(2)`

Therefore, Lin needs 12.53 square feet of fabric.

Answer 2

Answer:
`3.6\ ft^2`

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 =
`(d)/(2)=(3)/(2)\ feet`

Now, area of semicircle is given by :-
`Area=(1)/(2)\pi r^2\\\Rightarrow\ Area = (1)/(2)(3.14)((3)/(2))^2=(3.14*9)/(8)=3.5325\approx3.6\ ft^2`