Conic sections

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   A circle has equation $(x + 1)^{2} + (y + 4)^{2} = 49$. Find its radius and the coordinates of its center $(x, y)$.

2. Warm-up

   A circle has equation $(x - 7)^{2} + (y + 6)^{2} = 4$. Find its radius and the coordinates of its center $(x, y)$.

3. Warm-up

   A circle has equation $(x - 7)^{2} + y^{2} = 100$. Find its radius and the coordinates of its center $(x, y)$.

Problems shown under their original terms: Generated (template, solver-computed).