Answer:
See below.
Step-by-step explanation:
54.
The radius of the small circles is x.
The radius of the large circle is 2x.
Area of large circle:
πr² = π(2x)² = π4x² = 4πx²
Area of 1 small circle:
πr² = πx²
Area of 2 small circles:
2πx²
shaded area = area of large circle - area of 2 small circles
shaded area = 4πx² - 2πx²
shaded area = 2πx²
57.
The radius if the circle is x√2.
The side of the square is 2x.
Area of circle:
πr² = π(x√2)² = 2πx²
Area of square:
s² = (2x)² = 4x²
shaded area = area of circle - area of square
shaded area = 2πx² - 4x² or (2π - 4)x²
