Point P is chosen at random in a circle. If a square is inscribed in the circle, what is the probability that P lies outside the

Question

-BARSIC- [3]

3 years ago

8

Point P is chosen at random in a circle. If a square is inscribed in the circle, what is the probability that P lies outside the

circle

Mathematics

1 answer:

Novay_Z [31] · Answer 1 · 2022-05-04T10:01:09+03:00

Novay_Z [31]3 years ago

6 0

Area of the circle: πR²

Area of the Square = 2R²

(the diagonals of the square are diameters in the circle

P(lies inside) =2R²/πR² = 1/π = 0.318
P(lies OUTSIDE) = 1-0.318 =0.681