Answer:
7.722[tex]cm^2[/tex]
Step-by-step explanation:
Work out the area of the circle
By the length of the square, you know the diameter of the circle is 12 cm so the radius is 6cm. Then you can calculate the area of the circle by doing
[tex]6^{2}[/tex]π =36π [tex]cm^{2}[/tex]
Work out the area of the square
12 x 12 = 144 [tex]cm^{2}[/tex]
So the bit not occupied by the circle will be 144- 36π = 30.888 [tex]cm^2[/tex]
However, the shaded area is just 1/4 of this bit so 30.888 / 4 = 7.722 [tex]cm^2[/tex]
