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 4 inches and below r equal to 4 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%

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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 class=

Respuesta :

To find the probability of choosing a point NOT in the shaded region, you will need to find the area of the part of the figure that is not shaded when compared to the total area of the larger shape.

1.  To find the area of the unshaded region, you will subtract the area of the larger circle and the area of the smaller circle.

A = pi x r^2            -       
      3.14 x 5^2    -      3.14 x 4^2
       78.5  - 50.24
Area of the unshaded is 28.26 square inches.

Area of unshaded          28.26
Area of large circle   =   78.5

Divide these to find the probability.

0.36 is 36% probability.

The probability if 36%.

Answer:

36%

Step-by-step explanation: