The required probability of a point that lies in both circle and square is 0.786.
Given,
Square with side a = 2 units
A circle inscribed in a square with a radius r = 1
If a point is chosen inside the square, what is the probability that it will also be inside the circle is determined.
What is probability?
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Area of the circle = πr²
= π * 1²
= π
Area of the square = a²
= 2²
= 4
The probability of a point lies in both circle and square,
= Area of circle/area of square
= π / 4
= 0.785
Thus, the required probability of a point that lies in both circle and square is 0.786.
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