Question

how can you illustrate the definition of a circle?

Answer 1

her is our circle of radius r...

Answer 2

Notice that for any point on the circle we can apply the pythagorean theorem and show that \[x^2+y^2=r^2 \]

Answer 3

This drawing shows that this holds true for any point. Here I have P and Q as examples:Hence the definition of a circle of radius r is the set of all points such that \[x^2+y^2=r^2\]

Answer 4

Nice drawings! haha

Answer 5

another definition of a circle is the set of all points equidistant from a given point

Answer 6

Yeah but it said "illustrate" so I did