College Algebra & Trigonometry, 2018a

5.1. THE EQUATION OF THE CIRCLE 259
Exercises 5.1(a)
Determine the center and radius for each circle and sketch the graph of the circle.
1) (x − 3) 2 +(y +1) 2 =9 2) (x +4) 2 +(y +2) 2 =16
3) (x − 1) 2 +(y − 6) 2 =20 4) (x − 2) 2 +(y +5) 2 =27
5) (x +7) 2 +(y − 4) 2 =33 6) (x − 5) 2 +(y − 3) 2 =50
Determine the equation for each circle. Each line represents a diameter.
7) 8)
4
2
(−1, −1)
−4
−6
2 4 6 8 10
(9, −1)
12
10
(−8, 6) 6 (4, 6)
−10−8 −6 −4 −2 2 4 6
−2
8
4
2