Answer :
The equation of the circle , with diameter DEis (x - 5)² + (y - 7)² = 80
An equation is an expression that appears as the relationship between two or more variables and numbers. since the standard equation for a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. It is given that the diameter of the circle is at D(-3, 3) and E(13, 11). So the coordinate of the center is:
h = (13 + (-3))/2 = 5
k = (3 + 11)/2 = 7
(h, k) = (5, 7) and the Radius is diameter / 2 = 8√5 ÷ 2 = 4√5.
the equation will be : (x - 5)² + (y - 7)² = (4√5)² => (x - 5)² + (y - 7)² = 80
to know more about circle refer to the link https://brainly.com/question/11833983?referrer=searchResults.
#SPJ4
