Question

Write the equation for the circle graphed below.

Answer 1

`(x -1)^2 + (y+1)^2 = 0.25`

Explanation:

Given

The attached graph

Required

The equation of the circle

The equation of a circle is:

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

Where

`(h,k) \to center`

`r \to radius`

From the attached graph,

`(h,k) = (1,-1)`

`r = 0.5`

So, we have:

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

`(x -1)^2 + (y--1)^2 = 0.5^2`

`(x -1)^2 + (y+1)^2 = 0.5^2`

`(x -1)^2 + (y+1)^2 = 0.25`