Download 11.7 Equation of a Circle Classwork

Name: ________________________
Period: _____ Date: ____________
11.7 Equation of a Circle Classwork
1 Which equation represents a circle whose center is
(3,2)?
1)
2)
3)
4)
(x  3) 2  (y  2) 2
(x  3) 2  (y  2) 2
(x  2) 2  (y  3) 2
(x  2) 2  (y  3) 2
4 What are the center and the radius of the circle
whose equation is (x  3) 2  (y  3) 2  36
1) center = (3,3); radius = 6
2) center = (3,3); radius = 6
3) center = (3,3); radius = 36
4) center = (3,3); radius = 36
4
4
4
4
5 The equation of a circle is x 2  (y  7) 2  16 . What
are the center and radius of the circle?
1) center = (0,7); radius = 4
2) center = (0,7); radius = 16
3) center = (0,7); radius = 4
4) center = (0,7); radius = 16
2 Which equation represents circle O with center
(2,8) and radius 9?
1)
2)
3)
4)
(x  2) 2  (y  8) 2
(x  2) 2  (y  8) 2
(x  2) 2  (y  8) 2
(x  2) 2  (y  8) 2
9
9
 81
 81
6 What are the center and the radius of the circle
whose equation is (x  5) 2  (y  3) 2  16?
1) (5,3) and 16
2) (5,3) and 16
3) (5,3) and 4
4) (5,3) and 4
3 What is an equation of a circle with its center at
(3,5) and a radius of 4?
1)
2)
3)
4)
(x  3) 2  (y  5) 2
(x  3) 2  (y  5) 2
(x  3) 2  (y  5) 2
(x  3) 2  (y  5) 2
 16
 16
4
4
1
Name: ________________________
Period: _____ Date: ____________
7 What is an equation for the circle shown in the
graph below?
1)
2)
3)
4)
x2  y2
x2  y2
x2  y2
x2  y2
8 What is an equation of circle O shown in the graph
below?
2
4
8
 16
1)
2)
3)
4)
2
(x  1) 2  (y  3) 2
(x  1) 2  (y  3) 2
(x  5) 2  (y  6) 2
(x  5) 2  (y  6) 2
 25
 25
 25
 25