Question

Write the equation for the circle graphed below.

Answer 1

Answer:

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

Step-by-step 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:

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

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

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

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