Area & Perimeter of Norman Window

[nycmathguy]

College Algebra
Chapter 3

The area cannot = the perimeter. I did something wrong. I should have used the formula for the perimeter of a semicircle: P = r(pi + 2).

You say?

 

[MathLover1]

the perimeter of the window includes three sides of rectangle, 6,4,6
and the perimeter of the semicircle = πr + 2r, but for the perimeter of the window you don't need 2r=4
the perimeter of the window is
P=2*6+4+pi*2
P=16+2pi

 

[nycmathguy]

the perimeter of the window includes three sides of rectangle, 6,4,6
and the perimeter of the semicircle = πr + 2r, but for the perimeter of the window you don't need 2r=4
the perimeter of the window is
P=2*6+4+pi*2
P=16+2pi

P = 2•pi + 24 - 8

P = 2•pi + 16