Question

The figure below shows a shaded circular region inside a larger circle:

Answer 1

Answer:

Probability is 64%

Step-by-step explanation:

Given the smaller circle which is shaded whose radius is denoted by r and  the largest circle whose radius is denoted by R

                      r = 3 inches

                     R = 5 inches

Step 1 : To calculate the area of shaded region.

Area of circle = $\pi\cdot r^{2}$

⇒ Area =    $\frac{22(3)(3)}{7}$ 

           =  $\frac{198}{7}$ square inches

Step 2 : To calculate the area of larger circle.

 Area of circle = $\pi\cdot r^{2}$

⇒ Area =    $\frac{22(5)(5)}{7}$

             = $\frac{550}{7}$ square inches

Step 3 : Calculate the probability that a point chosen from shaded region

Probability = Area of shaded region/Area of larger circle.

                   =  $\frac{198}{7}$/ $\frac{550}{7}$

                   =  $\frac{198}{550}$

                   =  0.36 = 36%

Step 4 : calculate the probability that a point chosen inside the larger circle is not in shaded region.

Probability = 1 - 0.36

                   = 0.64 = 64%

Hence the probability is 64%

Answer 2

Answer:

64%

Step-by-step explanation:

someone give this person a brainliest ^^^^^ *claps*