4. On a plane, an infinite number of parallel lines are drawn, each at a distance of 1 from each other. A circle with a diameter of 1 is randomly thrown onto the plane. Find the probability that a line intersecting the circle divides it into parts, the ratio of the areas of which (the smaller to the larger) does not exceed the number \((5 \pi - 3):(7 \pi + 3)\)
Answer: $P(A)=\frac{2-\sqrt{2-\sqrt{3}}}{2} \approx 0.74$