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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