The calculated area of the shaded region is 2.08 square meters
How to determine the area of the shaded region
From the question, we have the following parameters that can be used in our computation:
Circle inscribed in a square
The area of the square is
Area = Length * Length
So, we have
Square area = 1.5 m * 1.5 m
Square area = 2.25 square meters
The area of the circle is
Area = π(d/2)²
So, we have
Circle area = π(0.5/2)²
Circle area = 0.17 square meters
So, we have
Shaded area = 2.25 - 0.17 square meters
Shaded area = 2.08 square meters
Hence, the shaded area is 2.08 square meters
Question
Find the area of the shaded part where the square has side of 1.5m and the circle has a diameter of 50cm