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

**Solution:**

Consider the __radius of the circle__ as r (0 < r < 2)

__Area of circle__ A = πr²

Where r is the radius

If r = 1.5

A = π × 1.5²

A = 2.25π

We know that

__Circumference of the circle__ C = 2πr

Substituting the values

C = 2 × π × 1.5

C = 3π

Here C > A

Area of a circle is not always greater than the circumference.

Therefore, the statement is false.

**✦ Try This:** If the circumference and the area of a circle are numerically equal, then what is the numerical value of the diameter?

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 12

**NCERT Exemplar Class 10 Maths Exercise 11.2 Problem 7**

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

**Summary:**

The statement “The numerical value of the area of a circle is greater than the numerical value of its circumference” is false

**☛ Related Questions:**

- If the length of an arc of a circle of radius r is equal to that of an arc of a circle of radius 2 r . . . .
- The areas of two sectors of two different circles with equal corresponding arc lengths are equal. Is . . . .
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