A semicircle is built on each side of the square. Find the area of the resulting shape if the side of the square is 4 cm long.

This figure is a square with semicircles on its sides.

To find the total area of ​​a shape, you need to find the area of ​​the square and the areas of the semicircles.

1. Find the area of ​​a square

S = a * a, where a is the side of the square

4 * 4 = 16 (cm ^ 2)

2. Find the area of ​​the semicircle. Take the formula for the area of ​​a circle S = Pi r ^ 2, for a semicircle this area must be divided by 2: Pi r ^ 2: 2

radius equals diameter divided by 2

4: 2 = 2 (cm) circle radius

(3.14 * 2 ^ 2) / 2 = 6.28 (cm ^ 2) area of ​​a semicircle

3. We have four semicircles, we will find their total area

6.28 * 4 = 25.12 (cm ^ 2)

4. Find the total area of ​​the figure

16 + 25.12 = 41.12 (cm ^ 2)

Answer: 41.12 cm ^ 2