Question

How do you write the equation of a circle with a center at (4, 1) and a radius of 6?

Answer 1

`(x-4)^2+(y-1)^2=36`

Explanation:

`"the standard form of the equation of a circle is"`

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

`"where "(a,b)" are the coordinates of the centre and r"`
`"is the radius"`

`"here "(a,b)=(4,1)" and "r=6`

`rArr(x-4)^2+(y-1)^2=36larrcolor(blue)"equation of circle"`