Question

What is the equation of the circle center (-2,4) and radius 7?

Answer 1

`(x + 2 )^2 + (y - 4 )^2 = 49`

Explanation:

the standard form of the equation of a circle is :

`(x - a )^2 + (y - b )^2 = r^2`
where (a , b ) represent the coordinates of the centre and r = radius.

in the given question (a , b ) = (- 2 , 4 ) and r = 7

the equation of the circle is : `(x + 2 )^2 + (y - 4 )^2 = 49`