Given the area of the square and the circle, the area of the shaded region in the diagram is 69.66mm².
What is a Square and a circle?
A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The area of a circle is expressed mathematically as;
A = πr²
Where r is radius and π is constant pi ( π = 3.14 )
A square is a 2-dimensional plane shape with four equal straight sides and four right angles.
The area of a square is expressed mathematically as;
A = l²
Where l is the length of the sides
Given that the length of the side of the square is 18mm.
We calculate the area of the square.
A = l²
A = (18mm)²
A = 324mm²
Now, the diameter of the circle is 18mm since the length of the line that runs through the middle of the circle is the same as the length of the side of the square.
Radius r = diameter/2 = 18mm/2 = 9mm
Area of circle A = πr²
A = 3.14 × (9mm)²
A = 3.14 × 81mm²
A = 254.34mm²
Now, area of the shaded region will be,
A_shaded = Area of square - Area of circle
A_shaded = 324mm² - 254.34mm²
A_shaded = 69.66mm²
Therefore, Given the area of the square and the circle, the area of the shaded region in the diagram is 69.66mm².
Learn more about circles and squares here: brainly.com/question/11952845
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