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 =

⇒ 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%

Step-by-step explanation: