Let's learn about circles! 🎉 1. Imagine a circle with a center at point $(-5,0)$ and radius $2.3$ units. 2. The center point is like the middle of a pizza 🍕, here it is at $(-5,0)$ on the number line. 3. The radius is the distance from the center to the edge of the circle, like the length of a slice of pizza, here it is $2.3$ units. 4. The equation of a circle with center $(h,k)$ and radius $r$ is: $$ (x - h)^2 + (y - k)^2 = r^2 $$ 5. Plug in $h = -5$, $k = 0$, and $r = 2.3$: $$ (x - (-5))^2 + (y - 0)^2 = 2.3^2 $$ 6. Simplify: $$ (x + 5)^2 + y^2 = 5.29 $$ Great! The circle's equation is $$ (x + 5)^2 + y^2 = 5.29 $$ 🎯 This shows all points $(x,y)$ that are $2.3$ units from the center $(-5,0)$!