SOLUTION: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 960 centimeters and the length of the base of the window is 190 centimete

Question 1098714: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 960 centimeters and the length of the base of the window is 190 centimeters, find the total area of the window.
area=______ cm^2
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Draw this and there are five parts.
Two sides are 190 cm
The other two aren't known.
The semicircle is (1/2)*pi*D, which is 190 cm*pi*(1/2)=298.45 cm
The two sides are 380 combined
The width is 960-380-298.45=281.55 cm, which divided in half is 140.8 cm
The rectangular portion has area of 190*140.8=26,752 cm^2
The semicircle is (1/2)*pi*95^2, since 95 is the radius, and is 14,176.4 cm^2
The sum is 40,928 cm^2 or 4.09 m^2.

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