How do you write an equation for a circle given endpoints of a diameter at (11,18) and (-13, -19)? Precalculus Geometry of an Ellipse Standard Form of the Equation 1 Answer VinÃcius Ferraz Jun 11, 2017 #(x +1)^2 + (y + 1/2)^2 = 1945/4# Explanation: #A = (11, 18) and B = (-13, -19)# The center is #M = (A + B)/2# and the radius is #r = |AB|/2# #M = frac{(11-13, 18-19)}{2} = (-1, -1/2)# #r = sqrt {24^2 + 37^2} /2# Answer link Related questions What is meant by an ellipse in standard form? What are common mistakes students make with ellipses in standard form? How do I write an ellipse in standard form? How do I find the center of an ellipse in standard form? What is the major axis of an ellipse? How do I find the major and minor axes of an ellipse? How do I know whether the major axis of an ellipse is horizontal or vertical? How do I find the center of an ellipse with the equation #9x^2+16y^2-18x+64y=71#? How do I use completing the square to rewrite the equation of an ellipse in standard form? What do #a# and #b# represent in the standard form of the equation for an ellipse? See all questions in Standard Form of the Equation Impact of this question 3461 views around the world You can reuse this answer Creative Commons License