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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.

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Presentation on theme: "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."— Presentation transcript:

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2 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 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

3 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.(x −1.6) 2 + (y + 2.4) 2 = 2 B.(x − 1.6) 2 + (y + 2.4) 2 = 16 C.(x − 1.6) 2 + (y + 2.4) 2 = 4 D.(x + 1.6) 2 + (y − 2.4) 2 = 16

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 A is shown in the graph below. Which of the following equations defines circle A? A. (x − 9) 2 + (y − 5) 2 = 25 B. (x + 9) 2 + (y + 5) 2 = 25 C. (x − 9) 2 + (y − 5) 2 = 5 D. (x + 9) 2 + (y + 5) 2 = 5

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 = B.(x − 2.5) 2 + (y + 0.5) 2 = 9 C.(x + 2.5) 2 + (y − 0.5) 2 = D.(x + 2.5) 2 + (y − 0.5) 2 = 9

6 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. D (−3.6, 2.9), radius of 49 units B. D (3.6, −2.9), radius of 7 units C. D (3.6, −2.9), radius of 49 units D. D (−3.6, 2.9), radius of 7 units

7 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

8 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

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 shown in the graph below. Which of the following equations defines circle D? A. (x + 1.5) 2 + (y − 0.5) 2 = 7 B. (x + 1.5) 2 + (y − 0.5) 2 = C. (x − 1.5) 2 + (y + 0.5) 2 = 7 D. (x − 1.5) 2 + (y + 0.5) 2 = 12.25

10 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.


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