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Geometry Mini-Lesson

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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 of circle C ?. C (4.2, −5.1), radius of 36 units C (−4.2, 5.1), radius of 36 units - PowerPoint PPT Presentation

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Page 1: Geometry Mini-Lesson
Page 2: 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.

Circle C is defined by the equation: (x + 4.2)2 + (y − 5.1)2 = 36Which 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

Page 3: 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.

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

Page 4: 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.

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

Page 5: 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.

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

Page 6: 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.

Circle D is defined by the equation (x + 3.6)2 + (y − 2.9)2 = 49Which 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

Page 7: 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.

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

Page 8: 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.

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

Page 9: 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.

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 = 12.25 C. (x − 1.5)2 + (y + 0.5)2 = 7 D. (x − 1.5)2 + (y + 0.5)2 = 12.25

Page 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.