Question

A square is attached to a semicircle to make the figure shown in the diagram below .

Answer 1

Answer:

C) 89.12 m^2

Step-by-step explanation:

You can find the area of this figure by finding the areas of both shapes (semicircle and rectangle) then adding both areas.

To find the area of a semicircle, use this formula:

1/2πr^2 (1/2 x 3.14 x radius x radius)

Here, this radius is 4.

Now, we just plug in the numbers.

[3.14 is always used for π (pi)].

1/2 x 3.14 x radius x radius

                ↓

1/2 x 3.14 x 4 x 4 = 25.12

25.12 is the area of the semicircle.

Now, we must find the area of the square.

SQUARES ARE HAVE EQUAL SIDES, SO TO FIND THE AREA, WE SIMPLY MULTIPLY A SIDE LENGTH BY ITSELF TWICE.

8 x 8 = 64.

Now that we have both areas, we add to find the area of the figure.

25.12 + 64 = 89.12

Therefore, the area of this figure is 89.12 meters^2.