Transcript MA.912.G.6.6

Circle C is defined by the equation:
(x + 4.2)2 + (y − 5.1)2 = 36
Which of the following identifies the center C (h, k)
and radius of circle C?
A. C (4.2, −5.1), radius of 36 units
B. C (−4.2, 5.1), radius of 36 units
C. C (−4.2, 5.1), radius of 6 units
D. C (4.2, −5.1), radius of 6 units
MA.912.G.6.6: Given the center and the radius, find the equation of a circle in the
coordinate plane or given the equation of a circle in center-radius form, state the center
and the radius of the circle.
Circle E has center E (1.6, −2.4) and a radius of 4 units.
Which of the following equations defines circle E?
A.
B.
C.
D.
(x −1.6)2 + (y + 2.4)2 = 2
(x − 1.6)2 + (y + 2.4)2 = 16
(x − 1.6)2 + (y + 2.4)2 = 4
(x + 1.6)2 + (y − 2.4)2 = 16
MA.912.G.6.6: Given the center and the radius, find the equation of a circle in the
coordinate plane or given the equation of a circle in center-radius form, state the center
and the radius of the circle.
Circle A is shown in the graph below. Which of the following equations defines circle A?
A.
B.
C.
D.
(x − 9)2 + (y − 5)2 = 25
(x + 9)2 + (y + 5)2 = 25
(x − 9)2 + (y − 5)2 = 5
(x + 9)2 + (y + 5)2 = 5
MA.912.G.6.6: Given the center and the radius, find the equation of a circle in the
coordinate plane or given the equation of a circle in center-radius form, state the center
and the radius of the circle.
Circle C is shown in the graph below. Which of the following equations defines circle C?
A. (x − 2.5)2 + (y + 0.5)2 = 20.25
B. (x − 2.5)2 + (y + 0.5)2 = 9
C. (x + 2.5)2 + (y − 0.5)2 = 20.25
D. (x + 2.5)2 + (y − 0.5)2 = 9
MA.912.G.6.6: Given the center and the radius, find the equation of a circle in the
coordinate plane or given the equation of a circle in center-radius form, state the center
and the radius of the circle.
Circle D is defined by the equation (x + 3.6)2 + (y − 2.9)2 = 49
Which of the following identifies the center D (h, k) and radius of circle D?
A.
B.
C.
D.
D (−3.6, 2.9),
D (3.6, −2.9),
D (3.6, −2.9),
D (−3.6, 2.9),
radius of 49 units
radius of 7 units
radius of 49 units
radius of 7 units
MA.912.G.6.6: Given the center and the radius, find the equation of a circle in the
coordinate plane or given the equation of a circle in center-radius form, state the center
and the radius of the circle.
Circle F has center F (5.4, −3.9) and a radius of 9 units.
Which of the following equations defines circle F?
A. (x − 5.4)2 + (y + 3.9)2 = 81
B. (x − 5.4)2 + (y + 3.9)2 = 3
C. (x − 5.4)2 + (y + 3.9)2 = 9
D. (x + 5.4)2 + (y − 3.9)2 = 81
MA.912.G.6.6: Given the center and the radius, find the equation of a circle in the
coordinate plane or given the equation of a circle in center-radius form, state the center
and the radius of the circle.
Circle B is shown in the graph below. Which of the following equations defines circle B?
A. (x − 5)2 + (y − 8)2 = 4
B. (x − 5)2 + (y − 8)2 = 16
C. (x + 5)2 + (y + 8)2 = 16
D. (x + 5)2 + (y − 8)2 = 4
MA.912.G.6.6: Given the center and the radius, find the equation of a circle in the
coordinate plane or given the equation of a circle in center-radius form, state the center
and the radius of the circle.
Circle D is shown in the graph below. Which of the following equations defines circle D?
A.
B.
C.
D.
(x + 1.5)2 + (y − 0.5)2 = 7
(x + 1.5)2 + (y − 0.5)2 = 12.25
(x − 1.5)2 + (y + 0.5)2 = 7
(x − 1.5)2 + (y + 0.5)2 = 12.25
MA.912.G.6.6: Given the center and the radius, find the equation of a circle in the
coordinate plane or given the equation of a circle in center-radius form, state the center
and the radius of the circle.
MA.912.G.6.6: Given the center and the radius, find the equation of a circle in the
coordinate plane or given the equation of a circle in center-radius form, state the center
and the radius of the circle.