# The circle has center at point (2, 5) and with radius 3, what is the equation of a circle?

Jan 30, 2016

${\left(x - 2\right)}^{2} + {\left(y - 5\right)}^{2} = 9$

#### Explanation:

The standard form for the equation of a circle is.

${\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}$

where (a , b ) is the centre and r , the radius.

This question gives all the necessary information needed to

complete the equation , centre = (2 , 5 ) and r = 3

hence equation is : ${\left(x - 2\right)}^{2} + {\left(y - 5\right)}^{2} = 9$