SOLUTION: A Norman window consists of a rectangular shape surmounted by a semicircle. The length of the rectangle is 16 feet, and the width is 14 feet. Find the area of the Norman window. Ho

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A Norman window consists of a rectangular shape surmounted by a semicircle. The length of the rectangle is 16 feet, and the width is 14 feet. Find the area of the Norman window. Ho      Log On

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Question 1208411: A Norman window consists of a rectangular shape surmounted by a semicircle. The length of the rectangle is 16 feet, and the width is 14 feet. Find the area of the Norman window. How much wood frame is needed to enclose the window?

Let me see.
To find the area of Norman window, I must add the area of the semicircle and the area of the rectangle.
You say?
To find how much wood frame is needed to enclose the window, I can use the formula C = pi•r, where C is the circumference of the semicircle and r is the radius of the semicircle
You day?

Answer by timofer(104) About Me  (Show Source):
You can put this solution on YOUR website!
How much wood frame is needed? Same as the perimeter of this norman window.

If you draw the figure according to how described, then taking the FULL CIRCLE to have circumference 2%2Api%2A7, the part you want to use is half of that, which is 7pi. The reason is the semicircle is "surmounted", so on top, goes along the 14 foot diameter of the semicircle.

The rest of the perimeter is simple addition of the 16%2B16%2B14;

The distance around the norman window here is 7pi%2B46.