Circles Worksheets With Answer Keys - Chapter 7.2 Hooked On Conics, Stitz-Zeager Precalculus Book Page 4
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77.2 Circles
501
We close this section with the most important
circle in all of mathematics: the Unit Circle.
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Definition 7.2. The Unit Circle is the circle centered at (0, 0) with a radius of 1. The
standard equation of the Unit Circle is x
+ y
= 1.
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2
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Example 7.2.5. Find the points on the unit circle with y-coordinate
.
2
3
Solution. We replace y with
in the equation x
+ y
= 1 to get
2
2
2
+ y
= 1
2
2
x
2
3
+
= 1
2
x
2
3
+ x
= 1
2
4
1
=
2
x
4
1
x =
4
1
x =
2
1
3
1
3
Our final answers are
and
.
,
,
2
2
2
2
1
While this may seem like an opinion, it is indeed a fact. See Chapters 10 and 11 for details.
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