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Geometry Mini-Lesson 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.

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Presentation on theme: "Geometry Mini-Lesson 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."— Presentation transcript:

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2 Geometry Mini-Lesson 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? C (4.2, −5.1), radius of 36 units C (−4.2, 5.1), radius of 36 units C (−4.2, 5.1), radius of 6 units 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.

3 Geometry Mini-Lesson (x −1.6)2 + (y + 2.4)2 = 2
Circle E has center E (1.6, −2.4) and a radius of 4 units. Which of the following equations defines circle E? (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.

4 Geometry Mini-Lesson (x − 9)2 + (y − 5)2 = 25 (x + 9)2 + (y + 5)2 = 25
Circle A is shown in the graph below. Which of the following equations defines circle A? (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.

5 Geometry Mini-Lesson (x − 2.5)2 + (y + 0.5)2 = 20.25
Circle C is shown in the graph below. Which of the following equations defines circle C? (x − 2.5)2 + (y + 0.5)2 = 20.25 (x − 2.5)2 + (y + 0.5)2 = 9 (x + 2.5)2 + (y − 0.5)2 = 20.25 (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.

6 Geometry Mini-Lesson D (−3.6, 2.9), radius of 49 units
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? D (−3.6, 2.9), radius of 49 units D (3.6, −2.9), radius of 7 units D (3.6, −2.9), radius of 49 units D (−3.6, 2.9), 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.

7 Geometry Mini-Lesson (x − 5.4)2 + (y + 3.9)2 = 81
Circle F has center F (5.4, −3.9) and a radius of 9 units. Which of the following equations defines circle F? (x − 5.4)2 + (y + 3.9)2 = 81 (x − 5.4)2 + (y + 3.9)2 = 3 (x − 5.4)2 + (y + 3.9)2 = 9 (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.

8 Geometry Mini-Lesson (x − 5)2 + (y − 8)2 = 4 (x − 5)2 + (y − 8)2 = 16
Circle B is shown in the graph below. Which of the following equations defines circle B? (x − 5)2 + (y − 8)2 = 4 (x − 5)2 + (y − 8)2 = 16 (x + 5)2 + (y + 8)2 = 16 (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.

9 Geometry Mini-Lesson (x + 1.5)2 + (y − 0.5)2 = 7
Circle D is shown in the graph below. Which of the following equations defines circle 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.

10 Geometry Mini-Lesson 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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