Question

What is the equation of a circle whose center is (3, 5) and whose radius is 2 cm?

Answer 1

`(x-3)^2+(y-5)^2=4`

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 centre and r, the radius.

here a = 3 , b = 5 and r = 2

Substituting these values into the standard form gives.

`(x-3)^2+(y-5)^2=4" is the equation of circle"`