1) The area of circle O is 81
.
2) The length of AB is 6.
This question deals with two different types of content
- probability and geometry. To answer it, we must figure out whether we
can determine a probability relationship, so let's start there.
We want to know the probability that a certain
line segment is equal to or less than a certain length. Well, to find any
probability, we need to know the total number of possible outcomes and the
number of desired outcomes (these being the number of ways to get the specific
result we want). In this case, the number of desired outcomes will be all
lengths of AC less than or equal to 
. The number of possible outcomes will be all possible
lengths of AC. So basically we’re trying to figure out what fraction
of all possible lengths of AC are less than or equal to . But what does the length of AC
depend on? If AC had a fixed length, this question would make no
sense, since the probability of its being less than or equal to
would have to be either 100% or 0%. So the length of AC must depend
on some other part of the diagram. But what? Now it’s time to look at the
geometry.
Countinue
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