marissadugannn
contestada


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%

Respuesta :

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 = [tex]\pi\cdot r^{2}[/tex]

⇒ Area =    [tex]\frac{22(3)(3)}{7}[/tex] 

           =  [tex]\frac{198}{7}[/tex] square inches

Step 2 : To calculate the area of larger circle.

 Area of circle = [tex]\pi\cdot r^{2}[/tex]

⇒ Area =    [tex]\frac{22(5)(5)}{7}[/tex]

             = [tex]\frac{550}{7}[/tex] square inches

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

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

                   =  [tex]\frac{198}{7}[/tex]/ [tex]\frac{550}{7}[/tex]

                   =  [tex]\frac{198}{550}[/tex]

                   =  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%


Ver imagen wagonbelleville
eeebud

Answer:

64%

Step-by-step explanation:

First Find the area of each:

Small Circle A = π3² = 28.27433 = 28.27

Large Circle - A = π5² = 78.53982 = 78.54

Then divide small circle by large circle

28.27 ÷ 78.54 = 0.36

The probability for the small circle is 36% but that's not what you need.

100% - 36% = 64%

The probability for the larger circle is 64%

Otras preguntas