If a point in the figure below is chosen at random, what is the probability that it is in the shaded region?

Answer:
254/324 which is about 78.4%
Step-by-step explanation:
found area of entire square to be 18² or 324
found area of 4-quarter circles - which equals one circle with radius of 9
A = 81π which is about 70
subtracted 324 and 70 to get 254
ratio of shaded to unshaded is 254 : 324
The Probability of point to lie is in the shaded region= [tex]\frac{254.34}{324}[/tex]
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
Area of square= side x side
= 18 x 18
= 324 sq. cm.
Area of 4 quadrant =4 x [tex]\frac{\pi r^{2} }{4}[/tex]
= [tex]3.14 * 9 * 9}[/tex]
= 254.34 sq. cm.
So, probability that it is in the shaded region= [tex]\frac{254.34}{324}[/tex]
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2