Answer:
48.3 cm^2
Explanation:
The area of the enclosing square is that of a square 15 cm on a side, so is ...
square area = (15 cm)^2 = 225 cm^2
The white area is that of a quarter-circle of radius 15 cm, so that area is ...
quarter-circle area = (1/4)πr^2 = (π/4)·(15 cm)^2 = 56.25π cm^2 ≈ 176.7 cm^2
Then the yellow area is the difference ...
yellow area = square area - quarter-circle area
= (225 cm^2) - (176.7 cm^2)
yellow area = 48.3 cm^2