When segments intersect inside a circle, what is the relationship between the angle of intersection and the intercepted arcs?
2 answers:
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<h3>Answer: See the diagram below</h3>
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Explanation:
Start at "2" on the number line. If you move to the right 6 steps, each time landing on a tickmark, then you'll arrive at "3" on the number line. This means the interval from 2 to 3 is cut into 6 equal pieces.
In other words, the little tickmarks represent 1/6 of a unit
If we go back to "2" on the number line, and move to the first tickmark, then we arrive at 2 & 1/6. Then the next tickmark would be 2 & 2/6, and so on.
Note how 2/6 = 1/3
So the mixed number 2 & 2/6 = 2 & 1/3
The location of 2 & 1/3 is marked in red in the diagram below.
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The mixed number 1 & 5/6 will be plotted a similar way.
Start at "1" on the number line. Count out 5 spaces until you arrive at 1 & 5/6. This is marked in blue in the same diagram. A shorter way is to start at "2" and count backward 1 tickmark. This works because the "2" is really 1 & 6/6. Going backward one tickmark has that "6/6" bump down to "5/6".