Answer:
114 cm²
Explanation:
Area of shaded region
= area of circle -area of square
![\boxed{area \: of \: circle = \pi {r}^(2) }](https://img.qammunity.org/2022/formulas/mathematics/high-school/l317xxk08c242t5tc5k894op3me5jcripz.png)
Given that radius= 10cm, r= 10cm.
![\boxed{area \: of \: square = side \: * side}](https://img.qammunity.org/2022/formulas/mathematics/high-school/ufygrp2cvp36h55k46gi0smx27kbj0jm8n.png)
Let the length of a side of the square be x cm.
Applying Pythagoras Theorem,
10² +10²= x²
100 +100= x²
x²= 200
![x = √(200)](https://img.qammunity.org/2022/formulas/mathematics/high-school/z4bxxwh6nyryn6it5iqb6vw0x9l0fawy4v.png)
Area of square
= x²
= 200cm²
Area of shaded region
= 3.14(10²) -200
= 3.14(100) -200
= 314 -200
= 114 cm²