Question

NEED THIS ASAP Write the equation of a circle with a center at (1, 4) where a point on the circle is (4, 8).

Answer 1

Answer:

(x-1)^2 + (y-4)^2 = 5^2

Step-by-step explanation:

Using the standard equation of a circle with center at (h, k) and radius r:

(x-h)^2 + (y-k)^2 = r^2, we substitute 1 for h, 4 for k, 4 for x and 8 for y:

(4-1)^2 + (8-4)^2 = r^2, or

    9     +     16     =   25   =   r^2

Thus, the radius is 5

and the equation is (x-1)^2 + (y-4)^2 = 5^2.  This matches the 2nd answer choice.