The figure below shows two half-circles at the ends of a rectangle with the dimensions shown. Which is closest to the area of the figure in square inches.
a 93
b 130
c 86
d 105

The figure below shows two halfcircles at the ends of a rectangle with the dimensions shown Which is closest to the area of the figure in square inches a 93 b 1 class=

Respuesta :

Answer: a 93

Step-by-step explanation:

From the given figure, it can be seen that there are one rectangle having dimensions [tex]20\times4[/tex] and two semicircle with same diameter of 4 inches.

Radius of semicircles = [tex]\frac{4}{2}=2\ in.[/tex]

Area of semicircle = [tex]\frac{1}{2}\pi r^2[/tex]

Now, the area of the figure=Area of rectangle+Area of two semicircles

=[tex]20\times4+2(\frac{1}{2}\pi (2)^2)\\=80+(3.14)(4)\\=80+12.56=92.56\approx93\ in^2[/tex]