A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probability that the point is inside the circle?

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

Area of square,

Now, probability is given by :

Therefore, the probability that the point is inside the circle is 0.785 .

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b. x- 48 =120

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