Find the equation of the circle in standard form for the given center (h,k) and radius r: (h,k)=(0,0), r=9

Question

asked Dec 17, 2018 83.0k views

2 Answers

Shutefan · Answer 1 · 2018-12-23T20:04:06+0000

Answer:
x^2+y^2=81

Explanation:

The equation of circle ( in general form ) is given by :_

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

, where r= radius of the circle .

(h,k) = center of the circle .

Given : Center = (h,k)= (0,0)

Radius = r = 9 units

Then the equation of the circle will be :-

(x-0)^2+(y-0)^2=(9)^2

$\Rightarrow x^2+y^2=81$

Hence, the required equation of the circle =
x^2+y^2=81