Question

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

Answer 1

`(x-10)^2+(y+1)^2=100`

Explanation:

The standard form of the equation of a circle is

`color(red)(|bar(ul(color(white)(a/a)color(black)((x-a)^2+(y-b)^2=r^2)color(white)(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.

`rArr(x-10)^2+(y+1)^2=100" is the equation"`