math

Find the standard form of the equation of the circle with the given characteristics.
Endpoints of a diameter: (1, −7) and (7, −5)

  1. 👍
  2. 👎
  3. 👁
  1. well the middle is halfway between
    (8/2 , -12/2) = (4,-6) center
    so
    (x-4)^2 + (y+6)^2 = r^2
    try a point like (1,-7)
    (-3)^2 + (-7+6)^2 = r^2
    9 + 1 = r^2 so r = sqrt 10 =
    (x-4)^2 +(y+6)^2 = 10
    ========================check with other point (7,-5)
    (3)^2 + (1)^2 = 9 + 1 = 10 good, checks

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Geometry

    The endpoints of a diameter of a circle are A(2,1) and B(5,5. Find the area of the circle in terms of pi.

  2. math

    Find the standard form of the equation of the circle having the following properties: Center at the origin Containing the point (-4,1)

  3. 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.

  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 circle O, diameter RS has endpoints R(3a,2b-1) and S(a-6,4b+5). Find the coordinates of point O in terms of a and b. Express your answer in simplest form.

  2. geometry

    The circle in the figure below has radius r. What is its equation in standard form?

  3. 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.

  4. math

    Let the equation of a circle be x^2+y^2-14x+8y+56 a. Find the standard form of the circle b. Find the center of the circle c. Find the radius of the circle

  1. Mathematics

    The diameter of a circle has endpoints at (-2,3) and (6,3). What is an equation of the circle?

  2. 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)

  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. Precalc

    Find the standard form of the equation of the hyperbola with the given characteristics. foci: (±4, 0) asymptotes: y= +/- 3x

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