Landing in the ring
A point is chosen uniformly at random inside a disk of radius . What is the probability it lands in the ring between distance and distance from the center? (to 4 decimals)
Show hints (2)+
- Uniform over area, so compare areas; the ring is one disk minus another.
- Square both radii and subtract: (3/4)² − (1/2)².
Answer
Reveal answer →Final answer
0.3125
Want the full step-by-step worked solution? It's part of Premium - along with a worked solution for every question in the bank.
Asked at: Timed Mental-Math & Sequences, Game-Based Aptitude