Circles And Circular Functions Worksheet - Dr. Neal, Math 116 - 2008 Page 4
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5Dr. Neal, Fall 2008
Exercises
1. Give the equation of the circle centered at (0, 0) with radius 5/3.
Give the
coordinates of the points on the circle that occur when x = –1/3.
2. (a) Give the equation of the upper-semicircle function centered at the origin with
radius 3.
(b) Graph the function and state its domain and range.
(c) Solve for the x that make y = 2.
(d) For which x is y ≥ 2 and for which x is y < 2 ?
3. (a) Give the equation of the lower-semicircle function centered at the origin with
radius 7.
(b) Graph the function and state its domain and range.
(c) Solve for the x that make y = −3.
(d) For which x is y < −3 and for which x is y ≥ −3?
4. (a) Find the equation of the circle with center (8, –2) and radius 4.
(b) Graph the circle by plotting the center and the 4 directional points on the circle.
(c) Give the function form of the upper semicircle and state the domain and range.
(d) Give the function form of the lower semicircle and state the domain and range.
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