Answer:
13.72 cm²
Step-by-step explanation:
The formula to find the area of a shaded region: Area of the bigger shape - area of the smaller shape.
The formula to find the area of a square: [tex]a^{2}[/tex], where [tex]a[/tex] is the side.
The formula to find the area of a circle: [tex]\pi r^{2}[/tex], where [tex]\pi[/tex] is 3.14 or [tex]\frac{22}{7}[/tex] or 3.142 or similar, [tex]r[/tex] is the radius (diameter ÷ 2).
1) Find the area of the circle using the formula. The radius is 4 because the diameter is 8 (8 ÷ 2 = 4).
= [tex]\frac{22}{7}*4^{2}[/tex]
= [tex]\frac{22}{7}*16[/tex]
= 50.285
2) Find the area of the square using the formula.
= [tex]8^{2}[/tex]
= 64
3) Apply: area of the bigger shape - area of the smaller shape.
= 64 - 50.285
= 13.715
4) Round it off to the nearest hundredth.
= 13.72
