Problem 25 of 25sta-025
A circle of radius 5 inches is drawn inside a square with sides 10 inches long, touching all four sides. A point is chosen at random inside the square. What is the probability that it is inside the circle?
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Solution walkthrough1:36
- Every spot in the square is equally likely, so probability target area whole area.
- The whole region is the square: square inches.
- The target is the circle: square inches. Use the radius, .
- Probability , which is about .
- Traps: uses as the radius, uses the circumference, and is the corners.