Answered

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

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 class=

Answer :

Answer:

E. 0.2146

Step-by-step explanation:

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

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

[tex]=10^2-\pi *5^2\\=21.46cm^2[/tex]

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

[tex]=\dfrac{\text{Area of the Shaded Region}}{\text{Total Area}} \\=\dfrac{21.46}{100}\\\\=0.2146[/tex]

The correct option is E

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