The required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.
A figure is shown, in which a square is inscribed in a circle. To find the probability that a randomly selected point within the circle falls in the red shaded area (Square).
radius = 4 cm
side of square = 4√2 cm
What is probability?
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Area of the circle = πr²
= 3.14 * 4²
= 50.24 cm²
Area of the square = side * side
= 4√2 * 4√2
= 32 cm²
Now the probability that a randomly selected point within the circle falls in the red shaded area (Square).
= Area of square / Area of the circle
= 32 / 50.24
= 0.636 or 63.6%
Thus, the required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.
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