suppose you drop a small stone at random on the circular region with diameter 7m. what is the probability that stone will land inside of the square ?
Answers
Given : A small stone at random on the circular region with Diameter 7m
To find : probability that stone will land inside of the square
Solution:
Assuming Largest Square in Circle
Diameter of Circle = 7 m
=> radius of Circle =7/2 m
Side of of Square = Diameter/√2 = 7/√2 m
area of Square = (7/√2)² = 49/2 m²
Area of Circle = π ( r )² = (22/7) (7/2)² = 77/2 m²
probability that stone will land inside of the square = area of Square / area of Circle
= (49/2)/(77/2)
= 7/11
= 0.636
2/π or 7/11 = 0.636 is the probability that stone will land inside of the square
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