Question

How do you find the equation of the circle given center (0,0) and the radius 10?

Answer 1

`x^2+y^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 = 0 , b = 0 and r = 10

Substitute these values into the standard equation.

`(x-0)^2+(y-0)^2=10^2` which simplifies to

`rArrx^2+y^2=100" is the equation of the circle"`