Question

Question 20: A point K is selected randomly from inside the square pictured

below. What is the probability that the point K lies in the shaded region? *
10 cm
O 0.0000
O 1.0000
O 0.7854
O 0.3183
O 0.2146

Answer 1

E. 0.2146

Explanation:

Area of the Square =10 X 10=100 Square cm

Area of the Shaded Region=Area of Square-Area of Circle

`=10^2-\pi *5^2\\=21.46cm^2`

Therefore, the probability that the point K lies in the shaded region is:

`=\frac{\text{Area of the Shaded Region}}{\text{Total Area}} \\=(21.46)/(100)\\\\=0.2146`

The correct option is E