Question

on incresing the diameter of circle by 75% what will be the percentage increase in the perimeter​

Answer 1

Answer:

Step-by-step explanation:

Let “r” be the radius of the given circle.

Then, it's perimeter (or, circumference) = 2πr = π×2r = π × it's diameter.

By increasing the circle's diameter by 75%, there happens a 75% increase in π× diameter.

That is, value of perimeter would become 175% of 2πr (= 1.75× π×diameter) from it’s former value 100% of 2πr (= 1.0×π×diameter) when the diameter becomes 175% ×2×r from it's initial value, 100%×2×r.

Therefore, percentage increase in the perimeter ( or, circumference) = 75 (ANS).