Question

If the diameter of a circle is doubled what happens to the area

Answer 1

HEY mate here is your answer

when the diameter double the radius also get doubled.

so the area of the resultant circle is increased by four times.

hope it helps you

Answer 2

Given : diameter of a circle is doubled

To Find : what happens to the area

Solution:

Let say Diameter = 2R

Radius = Diamter / 2

= 2R/2

= R

area of Circle = π ( Radius ) ²

= πR²

Diameter is Doubled

=> New diameter = 2D

=> New Radius = 2D/2 = D = 2R

New Area = π ( 2R ) ²

= 4 πR²

= 4 area of Circle

Area of circle becomes 4 times if diameter is doubled

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