Find the area of shaded region in terms of x.
Answer :
Given side length of square = Diameter of semicircle = 4 x
So,
Radius of semicircle = 2 x
And we know area of square = ( Side )2
So,
Area of given square = ( 4 x )2 = 16 x2
And we know area of semicircle =
So ,
Area of both semicircles =
Therefore ,
Area of shaded region = 16 x2 - 12.57 x2 = 3.43x2 ( Ans )
Given side length of square = Diameter of semicircle = 4 x
So,
Radius of semicircle = 2 x
And we know area of square = ( Side )2
So,
Area of given square = ( 4 x )2 = 16 x2
And we know area of semicircle =
So ,
Area of both semicircles =
Therefore ,
Area of shaded region = 16 x2 - 12.57 x2 = 3.43x2 ( Ans )