Question

Write an equation for a circle with a center (0,0) and a point on the circumference of (5,8) (??)

Answer 1

`x^2 +y^2 =89`

Explanation:

We know the generalized equation of a circle is `(x-a)^2 + (y-b)^2 =r^2` where, `(a,b)` is the coordinate of the centre of the circle and `r` is the radius

So,putting `(x,y)=(5,8)` and `(a,b)=(0,0)` in the equation we get,

`(5-0)^2 + (8-0)^2 =r^2 =89`

So,the equation of the circle becomes,

`x^2 +y^2 =89` graph{x^2 +y^2 =89 [-10, 10, -5, 5]}