Question

2. Lin is making a window covering for a window like the one shown that has the shape of a

Answer 1

The Area of the fabric required is 3.6 square feet

The square's side length is 3 feet.

Due to the fact that Lin is creating a window covering for a window that is half circle-shaped on top of a square.

The window covering must therefore be a semicircle with a 3-feet diameter.

thus the semicircle's radius is equal to d/2 = 3/2 feet

Now, the Area of the semicircle,

$A =\frac{1}{2} \pi r^{2}$

Putting the value of the radius in the equation, we have,

$A =\frac{1}{2} \pi (\frac{3}{2} )^{2} \\\\A = \frac{1}{2} *\frac{22}{7} *\frac{3}{2} *\frac{3}{2} \\\\A = \frac{99}{28} = 3.53 = 3.6$

Hence, The Area of the fabric required = 3.6 square feet

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