Question

A semicircle is attached to the side of a rectangle as shown. What is the best approximation for the area of this figure? Use 3.14 to approximate pi. Select from the drop-down menu to correctly complete the statement. The area is mm². A rectangle with a length of 9 mm and a height of 3 mm attached to semi circle on the long side. The semi circle has a length of 9 mm.

Answer 1

Answer:

Approximate Area of Figure is 58.8 mm²

Step-by-step explanation:

Given: Length of Rectangle, l = 9 mm

           Breadth of rectangle, b = 3 mm

           diameter of Semicircle, d = 9 mm

           $\pi\:=\:3.14$

To find: Area of figure when semicircle is attach to longest side of rectangle

Figure is attached below.

Area of Figure = Area of Rectangle + Area of Semi circle

Area of Rectangle = length × Breadth

                              = 9 × 3

                              = 27 mm²

radius of semicircle, r =  $\frac{9}{2}$  = 4.5 mm

Area of Semicircle =  $\frac{1}{2}\times\pi r^2$

                               =   $\frac{1}{2}\times3.14\times(4.5)^2$

                               =   $0.5\times3.14\times20.25$

                               =   31.7925 mm²

Area of Figure = 27 + 31.7925

                         = 58.7925 mm²

                         ≈ 58.8 mm²  (approx.)

Therefore, Approximate Area of Figure is 58.8 mm²

Answer 2

Answer:

58.8 mm²

Step-by-step explanation:

A semicircle is attached to the side of a rectangle as shown. What is the best approximation for the area of this figure? Use 3.14 to approximate pi. Select from the drop-down menu to correctly complete the statement. The area is mm². A rectangle with a length of 9 mm and a height of 3 mm attached to semi circle on the long side. The semi circle has a length of 9 mm.

Area of rectangular portion = 9 * 3 = 27 mm²

Area of semicircle = (1/2) π R²

π = 3.14  R = 9/2 = 4.5 mm

Area of semicircle = (1/2) * 3.14 * (4.5)² = 31.7925 mm²

31.8 mm²

Total area of figure = 27 + 31.8 = 58.8 mm²