Question

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

r3 inches
R5 inches
What is the probability that a point chosen inside the larger circle is not in the shaded region?
O 24%
O 36%
O 50%
O 64%

Answer 1

Probability is 64%

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%

Explanation: