Question

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

Answer 1

Given

center (1,2) ; radius = 5

Find

Equation of the circle

Step-by-step explanation

Equation of the circle is given by

`(x-h)^2+(y-k)^2=r^2`

where (h , k ) be the center and r be the radius

so ,

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

Final Answer

Hence , the equation of the circle is

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