Question

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

Answer 1

The equation of the circle with the given center (2,4) and radius 5 is (x - 2)^2 + (y - 4)^2 = 5^2.

Step-by-step explanation:

To write the equation of a circle, we use the formula (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the center of the circle and r represents the radius. In this case, the center is (2,4) and the radius is 5, so the equation of the circle is (x - 2)^2 + (y - 4)^2 = 5^2.

Answer 2

Step-by-step explanation: (x-h)^2+(y-k)^2=r^2 is standard form

(H,k)= (2,4)

H= 2

K=4

R=5

(x-2)^2+(y-4)^2=5^2

Answer: (x-2)^2+(y-4)^2=25