Theme: Equation of a Circle...
  • Write an equation in standard form for: A circle with center (0,0) passing through (-3,4).
  • Determine the equation of a circle having a diameter with endpoints at (12,14) and (2,4)
  • What does the equation x^2 + y^2 + 2x +1 =0 represent? explain. a. a parabola b. an ellipse c. a point d. a circle
  • Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are P(-1, 1) and Q(5,9)
  • What is the standard form of the equation for this circle 4,5 radius 5.5
  • Show that the straight line with equation 2x+y-8 = 0 is a tangent to a circle with equation x^2 + y^2 + 4x - 4y - 12 = 0. What is the equation of the radius drawn to the point of contact?
  • The point (3,0) lies on a circle with the center at the origin. What is the area of the circle to the nearest hundredth?
  • A circle is defined by the equation given below. x^2 + y^2 − x − 2y − 11/4 = 0 What are the coordinates for the center of the circle and the length of the radius?
  • Which point lies on a circle that is centered at A(-3, 2) and passes through B(1, 3)? C(-1,2) D(-6, 3) E(-3,3) F(-2, 6)
  • A circle with the equation (x + 3)^2 + (y - 2)^2 = 25 is reflected over the line x = 2. What is the equation of the image? (x - 3)^2 + (y + 2)2 = 25 (x - 7)^2 + (y + 2)^2 = 25 (x - 7)^2 + (y - 2)^2 = 25 (x - 3)^2 + (y - 2)^2 = 25 A square is inscribed in a circle that has a radius of 2√2 inches. What is the length of the side of the square? 8√2 in. 8 in. 4√2 in. 4 in.
  • The equation of circle having a diameter with endpoints (-3, 1) and (5, 7) is
  • Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point. (2, 3)
  • What is the general form of the equation of a circle with center at (a, b. and radius of length m? a. x2 + y2 − 2ax − 2by + (a2 + b2 − m2) = 0 b. x2 + y2 + 2ax + 2by + (a2 + b2 − m2) = 0 c. x2 + y2 − 2ax − 2by + (a + b − m2) = 0 d. x2 + y2 + 2ax + 2by + a2 + b2 = -m2
  • Which of the following expressions represents a function? a. x2 y2 = 9 b. {(4, 2), (4, –2), (9, 3), (9, –3)} c. x = 4 d. 2x y = 5