The equation of circle C with diameter DE is (x - 5)² + (y - 7)² = 80
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
The standard equation of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the circle center and r is the radius of the circle.
The diameter of the circle DE is at D(-3, 3) and E(13, 11). Hence the coordinate of point center is:
h = (13 + (-3))/2 = 5
k = (3 + 11)/2 = 7
(h, k) = (5, 7)
[tex]Diameter = \sqrt{(3-11)^2+(-3-13)^2} = 8\sqrt{5}[/tex]
Radius = diameter / 2 = 8√5 ÷ 2 = 4√5
The equation of the circle is:
(x - 5)² + (y - 7)² = (4√5)²
(x - 5)² + (y - 7)² = 80
The equation of circle C with diameter DE is (x - 5)² + (y - 7)² = 80
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
