Calculate the area of the shaded part to 1dp

Answer:
To find the area of the shaded region
A = Area of circle - Area of square
12cm is the diagonal of the square and diameter of the circle.
To find the side of the square,
d = √2 * s
12cm = √2 * s
s = 8.49cm
Area of square = L²
As = (8.49)²
As = 72.1cm²
Area of circle = πr²
r = 6cm
Ac = (π*36)cm²
Ac = 113.1cm²
A = Ac - As
A = 113.1cm² - 72.1cm²
A = 41cm²
The area of the shaded region is 41cm².
Answer: I can't tell from the photo which is the shaded part. I'll answer on the assumption it is either the square in the circle, or the 4 areas defined by the semicircles outside the square, but inside the circle.
Step-by-step explanation: Note the caveat above.
Circle Area = pi*r^2 or (3.14)*(6cm)^2 = 113.1 cm^2
Area of the square: The 12cm line forms an hypotenuse with either side. The sides are all equal, so if x is 1 side, we can say the area is x^2. We also know tha x^2 + x^2 = 12
x^2 = 6 cm^2 (the area of the square)
The two possible answers:
1) Shaded portion is the square: 6 cm^2
2) Shaded area means the 4 semicircles outside the square but within the circle: 113.1 cm^2 - 6 cm^2 = 107.1 cm^2