# How do you write an equation of a circle with center at (7, 0) and a radius of 10?

Mar 12, 2018

${\left(x - 7\right)}^{2} + {y}^{2} = 100$

#### Explanation:

$\text{the standard form of the equation of a circle is}$

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{{\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\text{where "(a,b)" are the coordinates of the centre and r is}$
$\text{the radius}$

$\text{here "(a,b)=(7,0)" and } r = 10$

$\Rightarrow {\left(x - 7\right)}^{2} + {\left(y - 0\right)}^{2} = {10}^{2}$

$\Rightarrow {\left(x - 7\right)}^{2} + {y}^{2} = 100 \leftarrow \textcolor{red}{\text{equation of circle}}$