Question

I need help. So it says to find the shaded area, and I'm not really good a things like this

Answer 1

Explanation:

Given,

One side of the square = 20 cm

Therefore, Area of the square = side × side

= 20 cm × 20 cm

`\: \: \: \: \: \: \: \: = 400 {cm}^(2)`

Also, known that

One side of the square = Diameter of the circle = 20 cm

So, radius of the circle = 20/2 cm = 10 cm

Therefore, area of the square

`\: \: \: \: \: \ \: \: \: \: = \pi{r}^(2)`

`= 3.14 * {(10cm)}^(2)`

`= 3.14 * 100 {cm}^(2)`

`= 314 {cm}^(2)`

Hence, area of the shaded region is

= Area of the square. - Area of the circle

`= 400 {cm}^(2) - 314 {cm}^(2)`

`= 86 {cm}^(2) (ans)`

Answer 2

86 cm²

Explanation:

1) Calculate the area of the square

`A=lw\\A=20*20\\A=400`

Therefore, the area of the square is 400 cm².

2) Calculate the area of the circle

`A=\pi r^2\\`

`\pi` we can substitute with 3.14. To find the radius, we divide the diameter of the circle by 2. 20 cm is the diameter of the circle, so therefore, its radius is 10 cm.

`A=3.14*10^2\\A=3.14*100\\A=314`

Therefore, the area of the circle is 314 cm².

3) Subtract the area of the circle from the area of the square

`A=400-314\\A=86`

Therefore, the area of the shaded region is 86 cm².

I hope this helps!