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

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

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