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

Question

Abram Knapp

Mathematics

15 December, 15:23

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

+2

Answers (1)

Know the Answer?

Jaelynn Johnston · 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.

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

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