What is the percentage probability that a point chosen randomly from the interior a rectangle is closer to the rectangle's center than to it's vertices?
Answers
Probability can also relate to the areas of geometric shapes. The following are some examples of probability problems that involve areas of geometric shapes.
Probability of shaded region
Example:
A dart is thrown at random onto a board that has the shape of a circle as shown below. Calculate the probability that the dart will hit the shaded region. (Use π = 3.142)

Solution:
Total area of board = 3.142 × 14 2 = 615.83 cm2
Area of non-shaded circle = 3.142 × 7 2 = 153.99 cm2
Area of shaded region = 615.83 – 153.99 = 461.84 cm2 = 462 cm2 (rounded to whole number)
Probability of hitting the shaded region = 
Example:
The figure shows a circle divided into sectors of different colors. 
If a point is selected at random in the circle, calculate the probability that it lies:
a) in the red sector
b) in the green sector.
c) in any sector except the green sector.
Step-by-step explanation:
Probability can also relate to the areas of geometric Shapes..
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