The figure below shows a shaded circular region inside a larger circle: a shaded circle is shown inside another larger circle. the radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as r. on the right side of the image is written r equal to 3 inches and below r equal to 3 inches is written r equal to 5 inches. what is the probability that a point chosen inside the larger circle is not in the shaded region? 24% 36% 50% 64%

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 =

⇒ Area =     

           =   square inches

Step 2 : To calculate the area of larger circle.

 Area of circle =

⇒ Area =    

             = square inches

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

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

                   =  /

                   =  

                   =  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%