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

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MCQ
True or False

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

Options

  • True

  • False

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Solution

This statement is False.

Explanation:

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.

Concept: Circumference of a Circle
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APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 11 Area Related To Circles
Exercise 11.2 | Q 7 | Page 123
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