Question

Identify the description that matches this equation. x2 + y2 = 49 a circle with center (0, 0) and radius 7 a circle with center a circle with center (0, ) and radius 1 1 (0,0) and radius 49 a circle with center (1, 1) and radius 7

Answer 1

The general equation for a circle is given by:

$\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \text{where:} \\ \text{center}=(h,k) \\ r=\text{radius} \\ \end{gathered}$

For this equation:

$x^2+y^2=49$

We can rewrite it as:

$x^2+y^2=7^2$

Therefore:

h = 0

k = 0

r = 7

Hence, the answer is:

a circle with center (0, 0) and radius 7