Answer:
114 cm²
Step-by-step explanation:
Area of shaded region
= area of circle -area of square
[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]
Given that radius= 10cm, r= 10cm.
[tex]\boxed{area \: of \: square = side \: \times side}[/tex]
Let the length of a side of the square be x cm.
Applying Pythagoras Theorem,
10² +10²= x²
100 +100= x²
x²= 200
[tex]x = \sqrt{200} [/tex]
Area of square
= x²
= 200cm²
Area of shaded region
= 3.14(10²) -200
= 3.14(100) -200
= 314 -200
= 114 cm²
