To solve the problem, we follow these steps:

Step 1: Determine the radius of the circle

Since the circle touches all four sides of the square, its diameter equals the side length of the square.
Square side length = 10 cm → Circle diameter = 10 cm → Radius (r = \frac{10}{2} = 5) cm.

Step 2: Calculate the area of the square

Area of square = (side^2 = 10^2 = 100) cm².

Step 3: Calculate the area of the circle

Area of circle = (\pi r^2 = \pi (5)^2 = 25\pi) cm².
Using (\pi ≈ 3.14):
Area of circle ≈ (25×3.14 = 78.5) cm².

Step 4: Find the shaded area

Assuming the shaded area is the square minus the circle (common in such problems):
Shaded area = Area of square - Area of circle ≈ (100 - 78.5 = 21.5) cm².

Answer: (\boxed{21.5}) cm². (Or exact value: (100 - 25\pi) cm², but numerical value is expected.)

(\boxed{21.5})

作者声明:本文包含人工智能生成内容。