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
m².

Answer 1

$\huge {\bf{\red{\fbox{\underline {Hey \: Mate }}}}}$

$\huge {SOLUTION }$

Area of the given figure = Area of rectangle + Area of semi circle .

=> Area of rectangle = lb

=> Area of rectangle = 2× 6

=> Area of rectangle = 12 cm^2

Now,

=> Area of semi - circle

$= 1 \div 2\pi {r}^{2}$

= 1/2 × 3.14 × 1.5 × 1.5

= 3.53cm^2

NOW ,

AREA OF THE GIVEN FIGURE = 12 + 3.53

= 15.53 cm^2

$\huge{ANSWER}$

The area of the given figure is 15.53 cm^2 .

Answer 2

Answer:

15.53cm^2

Step-by-step explanation:

The area of a rectangle is given as A=lb, and that of a semi-circle is given as A=(πr^2)/2

So, the area of the whole figure is A=lb + (πr^2)/2

A=6×2 + (3.14×1.5^2)/2

A=12+(7.0650)/2

A=12+3.5325

A=15.53cm^2

HOPE THAT WAS HELPFUL.