Question

A window has the shape of a rectangle with a semi circle at the top. Find the approximate area of the window using the dimensions shown. 4ft by 8ft

Answer 1

Answer:

82.24 or 44.56 square feet (depending on picture)

Step-by-step explanation:

To find the area of a rectangular window and semi circle on top use the formulas A=b*h and $A= \pi r^2$. Add the values from these two formulas and this is the area of the whole shape. Without the picture, its difficult to know what the measurements for the semi-circle are. There are two likely options:

• The rectangular window has a height of 4 feet and a width of 8 feet. This means the semi-circle would have a diameter of 8 feet.
• The rectangular window has a height of 8 feet and a width of 4 feet. This means the semi-circle would have a diameter of 4 feet.

Option #1:

The rectangular window has base of 8 feet and a height of 4 feet. This means the semi-circle has a diameter of 8 feet and a radius of 4 feet. The formulas are:

A=b*h=8*4 = 32

[tex]A= \pi r^2= \pi (4)^2=50.24/tex]

The area together is 32 + 50.24 = 82.24 square feet.

Option #2:

The rectangular window has base of 4 feet and a height of 8 feet. This means the semi-circle has a diameter of 4 feet and a radius of 2 feet. The formulas are:

A=b*h=4*8 = 32

[tex]A= \pi r^2= \pi (2)^2=12.56/tex]

The area together is 32 + 12.56 = 44.56 square feet.