# Seagull

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, ......) make land to landing area?

Result

p =  1.528 %

#### Solution:

$S_{1}=\pi \cdot \ 50^2=3.1416 \cdot \ 50^2 \doteq 7853.9816 \ \\ S_{2}=15 \cdot \ 8=120 \ \\ p=100 \cdot \ S_{2}/S_{1}=100 \cdot \ 120/7853.9816 \doteq 1.5279 \doteq 1.528 \%$

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