Answer:
To find the area of the shaded region, we need to subtract the area of the circle from the area of the square.
1. Area of the square:
The side length of the square is given as 14 mm. To find the area, we square the side length.
Area of the square = (side length)^2 = 14^2 = 196 mm^2.
2. Area of the circle:
The circle is placed inside the square, which means the diameter of the circle is equal to the side length of the square.
Diameter = side length = 14 mm.
Radius of the circle = (diameter)/2 = 14/2 = 7 mm.
To find the area of the circle, we use the formula:
Area of the circle = π * (radius)^2 = 3.14 * 7^2 = 153.86 mm^2.
3. Area of the shaded region:
We subtract the area of the circle from the area of the square to find the shaded region.
Area of the shaded region = Area of the square - Area of the circle = 196 mm^2 - 153.86 mm^2 = 42.14 mm^2.
Therefore, the area of the shaded region is 42.14 mm^2.
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Explanation: