# How do you write the equation of the circle with center (10, -1), radius = 10?

Jun 13, 2016

${\left(x - 10\right)}^{2} + {\left(y + 1\right)}^{2} = 100$

#### Explanation:

The standard form of the equation of a circle is

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where (a ,b) are the coordinates of the centre and r, the radius.

here a = 10 , b =-1 and r = 10

Substitute these values into the standard equation.

$\Rightarrow {\left(x - 10\right)}^{2} + {\left(y + 1\right)}^{2} = 100 \text{ is the equation}$