Question

Write an equation of a circle with the given center and radius.
center (2, 4) and radius 5

(x – 2)2 + (y + 4)2 = 5
(x + 2)2 + (y – 4)2 = 5
(x + 2)2 + (y – 4)2 = 25
(x – 2)2 + (y – 4)2 = 25

Answer 1

Equation for any circle centre (a,b) radius r is:\[(x-a)^2 + (y-b)^2 = r^2\] So here, the centre is (2,4) and radius 5, so the equation is: \[(x-2)^2 + (y-4)^2 = 25\]