What is a Circle with the endpoints of the diameter at (3,4) and (-3,-4)

Answer 1

a circle with endpoints (3,4) and (-3,-4) has a diamenter = sqr(6^2 +8^2) = sqr100= 10

radius = 10/2 = 5

and center = the midpoint or average of the 2 points = the origin or (0,0)

general equation is

(x-h)^2 +(y-k)^2 =r^2 where (h,k) is the center and r= radius

(x-0)^2 + (y-0)^2 = 5^2

x^2 +y^2 = 25

is the equation of the circle