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If the area of a circle increases at a uniform rate, then prove that perimeter varies inversely as the radius.
If the area of a circle increases at a uniform rate, then prove that perimeter varies inversely as the radius.
Application of Derivatives | Class 12 | Maths | NCERT Exemplar
If the area of a circle increases at a uniform rate, then prove that perimeter varies inversely as the radius.

We realize that the space of circle, \[A\text{ }=\text{ }\pi r2\] , where r = span of the circle

Furthermore, \[edge\text{ }=\text{ }2\pi r\]

As indicated by the inquiry, we have

NCERT Exemplar Solutions Class 12 Mathematics Chapter 6 - 2

Subsequently, it’s seen that the edge of the circle changes conversely as the range of the circle.

i

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