Question

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

Answer 1

The area of a full circle would be Area = PI x r^2

The diameter would be the width of the dorr, so the radius would be half that. 34/2 = 17 inches.

Area for a full circle would be 3.14 x 17^2 = 907.46 square inches.

A semi circle is a half circle.

The area would be 907.46 / 2 = 453.73 square inches.

Multiply the area by the cost:

453.73 x 0.95 = 431.04

The answer is C.