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


False

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.


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