Question

Find the standard equation for the circle. center (1,2) radius 5

Answer 1

Step 1

`\begin{gathered} The\text{ general equation of a circle is in the form of} \\ (x-h)^2+(y-k)^2=r^2 \\ \\ Where\text{ \lparen h,k\rparen is the center and r is the radius} \end{gathered}`

Step 2

Given data:

Center = (h.k) = (1,2) and radius r = 5

Step 3

Substitute the values into the equation.

`\begin{gathered} (x-1)^2+(y-2)^2=5^2 \\ \\ (x-1)^2+(y-2)^2=25 \end{gathered}`

Final answer

`(x-1)^2+(y-2)^2=25`