Problem 5. A semicircle is inscribed inside a quarter circle as shown in the figure. Find the ratio of the area of the semicircle to the area of the quarter circle. If necessary, round the answer to 0.01.

![](https://cdn.mathpix.com/cropped/2024_05_06_ded38db876aab6054e18g-1.jpg?height=354&width=357&top_left_y=1959&top_left_x=858)
Problem 5. A semicircle is inscribed inside a quarter circle as shown in the figure. Find the ratio of the area of the semicircle to the area of the quarter circle. If necessary, round the answer to 0.01. Answer. $\frac{2}{3} \approx 0.67$.

![](https://cdn.mathpix.com/cropped/2024_05_06_0cecfd4e0d91b7f6e5d5g-2.jpg?height=368&width=377&top_left_y=393&top_left_x=859)