Answer:
The probability that a randomly placed point falls within the smaller, inner circle is 25/64
Step-by-step explanation:
The remaining part of question is attached
Solution
The area of smaller circle is
[tex]\pi r^2 = 25 \pi[/tex]
The area of large circle is
[tex]\pi r^2 = 64 \pi[/tex]
Area of the shaded region
Area of large circle - area of small circle
[tex]64\pi -25\pi = 39\pi[/tex]
Probability that the point falls in the region of smaller circle is
[tex]\frac{25\pi }{64\pi } \\\frac{25}{64}[/tex]
