Question

PLEEEEEEEEEEASE HELP ASAP

A stained glass window is going to be installed in a semi-circular opening, which is above a 34 inch wide door. If the stained glass window costs $0.95 per square inch, how much will the window cost? Use 3.14 for π as necessary.

A. $1,724.17
B. $389.10
C. $494.55
D. $431.04

Answer 1

D.) $431.04

Explanation:

I got it correct on founders edtell

Answer 2

The answer is D. $431.04.

A semi-circle, is half a circle. You need to get the area of the semi-circle to get the price for the whole thing. Since the door is 34 inches, we can assume that the diameter of the window would be 34 inches.

Okay, since the area of the circle is: πr², we just need to divide the equation by 2. So you will have the equation:

`A =(\pi(r^(2)))/(2)`

Where:

π=3.14

r = radius

All we have is the diameter, and what we need is the radius. The radius is half of the diameter, so we divide the measurement of the diameter by two.

`r=(d)/(2)\\\\ r=(34in)/(2)\\\\ r=17in`

So now that we have the radius, let's put that into our area equation:

`A=(\pi(r^(2)))/(2)\\ \\ A=((3.14)(17in^(2)))/(2)\\ \\ 453.73in^(2)`

The area of the semi-circle window is 453.73in².

Now let's get how much that would cost by multiplying the area by the price per square inch.

`(453.73in^(2))((\$0.95)/(in^(2))) = \$431.04`

The semi-circle would cost $431.04.