The Unit Circle Worksheet With Answers By Ana Zuniga Page 5
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12Name _____________KEY_________________ Date _______________________ Period ____________
Unit Circle Project: Background Information
Directions: Fill in the blanks.
The unit circle is a circle centered at the origin (the point
__(0,
0)______) with a radius of 1. Since the
2
2
2
equation of a circle is (x – h)
+ (y – k)
= r
, where (h, k) is the center of the circle and r is the radius of
2
2
the circle, then the equation of the unit circle is
_____x
+ y
=
1__________________________.
The circumference of a circle is found by using the formula C =
__2πr o r
C=πd____. Because the radius
of the unit circle is equal to ___1__, then the circumference of the unit circle is
__2π
____.
When measured in degrees, one full revolution of a circle is equal to __360______ degrees. If we split
the circle into 4 equal parts, then at each corner the angles go up by __90___ degrees (divide 360 by 4).
If we split the circle into 8 equal parts, then from one point to the other we would need to add by
___45___ degrees. If we split the circle into 12 equal parts, then from one point to the other we would
need to add by __30___ degrees.
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