7-1)The diameter of the circles is 2 centimeters. Calculate the area that is purple.

Answer :

Given : Diameter of each circle  =  2 cm  ,

So ,
Length of side of square  =  2  +  2  =  4 cm

We know area of square  = ( Side )²
So,
Area of our square  =  4 ² =  16 cm²

And

Area of a circle  = $\mathrm{\pi } {\mathrm{r}}^2$

Radius of our circle  =  1 cm 

So,

Area of a circle  = $\frac{22}{7} \times 1^2 = \frac{\mathbf{22}}{\mathbf{7}}\mathbf{ }{\mathbf{cm}}^{\mathbf{2}}$

Shaded area ( In purple ) =  Area of square  -  4 ( Area of a circle )

Shaded area ( In purple ) =  16 -   $4 \times \frac{22}{7}$

Shaded area ( In purple ) =  16 -   $\frac{88}{7}$

Shaded area ( In purple ) =  16 - 12.57

Shaded area ( In purple ) =  3.43 cm²                                        ( Ans )