math

Find the standard form of the equation of the circle having the following properties:

Center at the origin
Containing the point (-4,1)

  1. 👍
  2. 👎
  3. 👁
  1. The radius of the circle must be
    sqrt (4^2 + 1^2) = sqrt 17

    The equation is therefore
    x^2 + y^2 = 17
    or, in a more standard form,
    x^2/17 + y^2/17 = 1

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Write an equation in standard form of the circle with the given properties. Center at (0, 5); r = 9

  2. math

    Write the standard form of the equation of the circle x^2+y^2+4x-2y-20=0. Find the center and radius. How do I do this? pleaaase help.

  3. algebra

    The standard form of a linear equation is Ax+By=C, where A and B are not both 0, and A is nonnegative. Explain why each equation is not written in standard form. Write the equation in standard form and identify the constants A, B,

  4. GEOMETRY

    The diameter of a circle has endpoints P(–10, –2) and Q(4, 6). a.Find the center of the circle. b.Find the radius. If your answer is not an integer, express it in radical form. c.Write an equation for the circle.

  1. NEED MAJOR HELP! *QUADRATIC EQUATIONS*

    Write the equation for the circle with center at (- 8, - 6) and radius of 10. (x+8)² + (y + 6)² = 10 (x+8)² + (y + 6)² = 100 (x-8)² + (y - 6)² = 100 Find the standard equation for the circle with center on the positive

  2. algebra2

    Write the equation in standard form of the circle with the given properties. Center at the origin; r = square root of 2 answer r= square root 2

  3. college algebra--need help please!!

    write the standard form of the equation and the general form of the equation of the circle with radius r and center (h,k) r=10; (h,k)=(8,-6)

  4. Geometry

    The diameter of a circle has endpoints P(- 10, - 8) ) and Q(4, 4) . a. Find the center of the circle. bFind the radius. If your answer is not an integer, express it in radical form. . Write an equation for the circle.

  1. geometry

    in the coordinate plane, the points (2,2) and (2,12) are the endpoints of a diameter of a circle. what is the equation of the circle in standard form?

  2. pre calculus

    Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle. x^2+y^2-12x-4x+36=0 How on earth do I do this?

  3. mathematics

    The center of the circle is at point (3, -6) having a radius of 6 units. a.) Find the equation of the circle. b.) What is the distance from the center of the circle to the line y=2x+10.

  4. geometry

    Write the standard equation for the circle center (–6, 7), r = 9 please help i am confused on this one

You can view more similar questions or ask a new question.