Question

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

Answer 1

@Narad

Answer 2

The centre of the circle is (1,4)
The radius of the circle is
\[=\sqrt{((4-1)^2+(8-4)^2)}\]
\[=\sqrt{(9+16)}=\sqrt{(25)}=5\]
The equation of the circle is
\[(x-h)^2+(y-k)^2=r^2\]
\[(x-1)^2+(y-4)^2=25\]