Answer to Question #5663 in Trigonometry for maria pretty maths

Question

Hello Dear Sir,which one contain a large number of points.
1)line
2)Circle

Answer 1

We can build a mapping that transforms line onto the circle. Let x²+y²=r² be a circle. Let's rewrite the circle's equation in a form y = sqrt(r²-x²) (we consider it compex numbers). This is a bijective mapping between the set of real numbers and the circle. So, both line and circle have the same continuum size.