Question

What is the equation of the circle with a center at `(5 ,7 )` and a radius of `1`?

Answer 1

`(x - 5 )^2 +(y - 7 )^2 = 1`

Explanation:

The standard form of the equation of a circle is:

`(x - a )^2 + (y - b )^2 = r^2`

where (a , b ) are the coords of centre and r , the radius

here a = 5 , b = 7 and r = 1

substitute these values into the equation of circle

`rArr (x - 5 )^2 + (y - 7 )^2 = 1`