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UNIT 6 REVIEW SHEET (Circles)
* Find the distance between the two points. State all answers as simplified radicals:
* If the distance between the points (3, -7) & (k, -2) is found to be 13 units long, find the value(s)
of k.
* Find the midpoint between the two points:
* One endpoint of a segment and a midpoint are given. Find the other endpoint:
* State the general form for an equation of a circle: __________________________
What does the point (h, k) stand for? _______________
What does “r” stand for? _____________
Write the equation of the circle with
the given information:
Write each circle’s equation from its graph:
UNIT 6 REVIEW SHEET (Circles)
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Complete the square to write each circle in standard form. Then state the center & radius of
each circle:
* Write the circle with these given facts:
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UNIT 6 REVIEW SHEET (Circles)
* If the area of a given sector is found to be
known to be
30π
, and the central angle for that sector is
80! , what is the radius of the circle?
* What is a “radian” referring to? _________________________________________________
How many degrees in a full revolution of a circle? ________ How many radians are in a full
revolution of a circle? _________
Convert each degree measure to radian measure. 1. 150o
2. 210o
3. -­‐60o
4. 165o
Convert each radian measure to degree measure. 5.
6.
7.
8.
* Draw a periodic function with
midline of y=2, an amplitude of 3
and period of 4.
* Draw a periodic function with a
midline of y=0, an amplitude of 5,
and a period of 3.
a) y = -4sin(x) +2
b) y = 3cos(4x)
c) y = sin(0.5x)-3