Question

The numerical value of the area of a circle is greater than the numerical value of its circumference. Is this statement true? Why?

Answer 1

Let r be the radius of the circle.

Area of the circle = πr²

Circumference of the circle = 2πr

Both are equal only when r = 2 and numerical value of circumference is greater than numerical value of area of circle when 0 < r < 2 and if r > 2, then numerical value of area of circle is greater than the numerical value of the circumference of the circle.