Question

How do you write the equation of a circle with a center at (10, 10) and a radius of 12?

Answer 1

`( x - 10 )^2 + (y - 10 )^2 = 144`

Explanation:

The standard form of the equation of a circle is :

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

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

here the centre is (10 , 10 ) and r = 12

substitute these values into the standard form to obtain equation.

`rArr (x - 10 )^2 + (y - 10 )^2 = 144`