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Mathematics

The circumference of a circle is numerically same as its area; then its radius is :

  1. 4 unit

  2. 2 unit

  3. 1 unit

  4. none of these

Area Trapezium Polygon

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Answer

Given:

The circumference of a circle = The area of a circle

Let r be the radius of the circle.

As we know, the circumference of the circle = 2πr

And, the area of the circle = πr2

So,

⇒ 2πr = πr2

⇒ 2r = r2

⇒ 2 = r

Hence, the radius of the circle is 2 units.

Hence, option 2 is the correct option.

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