12. what is the probability that a point in the square below
is in the shaded region? write your answer as a
percent.

Step-by-step explanation:

we know that

The probability that a point in the square below  is in the shaded region, is equal to divide the area of the shaded region by the area of the square

step 1

Find the area of the shaded region

The area is equal to the area of the square minus the area of the circle

we have

---> length side of the square

----> the radius is half the diameter

assume

substitute

step 2

Find the area of the square

we have

---> length side of the square

substitute

step 3

Find the probability

Convert to percent form

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2