What is the equation of the circle with a center at (2 ,2 ) and a radius of 4 ?

2 Answers
Jun 7, 2018

(x-2)^2 + (y-2)^2 = 16

Explanation:

Formula for a circle centered on (h,k):

(x-h)^2 + (y-k)^2 = r^2

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

(x-2)^2 + (y-2)^2 = 16

graph{(x-2)^2 + (y-2)^2 = 16 [-6.67, 13.33, -3.08, 6.92]}

Jun 7, 2018

(x-2)^2+(y-2)^2=16

Explanation:

"the equation of a circle in standard form 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"
"the radius"

"here "(a,b)=(2,2)" and r=4

(x-2)^2+(y-2)^2=16larrcolor(red)"equation of circle"