Question

A window has the shape of a rectangle with a semicircle at the top.

Find the approximate area of the window using the dimensions shown.

Answer 1

8+pi/2

Explanation:

The area of the rectangle on the bottom is 8, or 2*4. The area of the top is half (because it's a semi circle) of pi*r^2, or just 1/2 pi

Answer 2

The approximate area of the window = 9.6 ft²

What is the approximate area of the figure (window)?

The approximate area of the window can be determined by finding the area of the semicircle and the area of the rectangle. The base of the rectangle is also the base of the semicircle.

Thus, the area of a semicircle can be calculated by using the formula:

`=(1)/(2)\pi r^2`

• the base(diameter) = 2 ft
• radius = d/2 = 2/2 = 1 ft

`=(1)/(2)* 3.142 * 1^2`

= 1.571 ft²

Area of the rectangle = length × width

Area of the rectangle = 4 ft × 2 ft

Area of the rectangle = 8 ft²

Total approximate area of the window = 1.571 ft² + 8 ft²

Total approximate area of the window = 9.571 ft²

The approximate area of the window = 9.6 ft²