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Mathematics

If the radius of a circle is doubled, then its area will become :

  1. doubled

  2. halved

  3. four times

  4. three times

Mensuration

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Answer

Let r be the radius of circle.

Area of circle = πr2

When the radius is doubled, new radius = 2r

Area of new circle = π x (2r)2

= π x 4r2

= 4πr2

The new area is four times the area of the original circle.

Hence, option 3 is the correct option.

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