Question

when a radius of a circle is increased its volume by 300% determine the percent increased in radius ​

Answer 1

Answer:

100%

Step-by-step explanation:

We have give that the radius of circle is increased by 100%.

we know that the Area of Circle = πr^2

A1 = πr^2, this is the area of circle when intially area is A1 and radius is r.

When the radius is increased by x%.

R = r + x% of r. = 2r

Then area of the circle be A2 = π R^2

A2 = π (2r)^2= 4 π r^2 = 4 A1 ( A1 = πr^2)

Percentage increased in the Area = (( A2- A1)/A1)×1x

=((4A1-A1)/A1)×100

= 300%

So, finally we can say that if the radius of the circle be increased by 100% then it's area will be increased by 300%.

I hope that your doubt will be cleared up.