Seagull

An artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull (without the use of the senses, eyes, ......) makes land at the landing area?

Final Answer:

p =  1.53 %

Step-by-step explanation:

$$\begin{gathered} r=50\text{m} \\ a=15\text{m} \\ b=8\text{m} \\ {S}_1=\pi \cdot r^2=3.1416\cdot 50^2\doteq 7853.9816{\text{m}}^2 \\ {S}_2=a\cdot b=15\cdot 8=120{\text{m}}^2 \\ p=100\cdot \frac{S_2}{S_1}=100\cdot \frac{120}{7853.9816}=1.53\% \end{gathered}$$

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