The area of the shaded region = π(4²) - (4√2)² = 50.27 - 32
The area of the shaded region, to one decimal place is: 18.3 m²
What is the Area of the Shaded Region of a Circle?
The area of the shaded region = area of the circle - area of the square = πr² - s².
Radius (r) of the circle = 1/2(length of diagonal of the square)
Using Pythagorean theorem, we have:
Diagonal = √[(4√2²) + (4√2²)]
Diagonal = √(32 + 32]
Diagonal = 8 m
Radius (r) = 8/2 = 4
s = 4√2
The area of the shaded region = π(4²) - (4√2)² = 50.27 - 32
The area of the shaded region = 18.3 m²
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