Question

if the radius of a circle is increased by 1 the percent increase in surface area is

Answer 1

Heya !!

I think it should be sphere instead of circle.
Anyways, I'll solve talking it as a sphere. If any problem, contact me.

I've a simple formula for it...

If the radius of a sphere is increased by a%, then increase in surface area will be ...
$(2a + \frac{ {a}^{2} }{100} )\%$
Now, using this formula :

Here, increase in radius is 1%, So a,= 1%. Putting in given formula....

$(2 + \frac{ 1}{100} )\% \\ \frac{200 + 1}{100} \\ = \frac{201}{100} = 2.01\%$

Hope It Helps

Answer 2

Answer:

2.01%

Step-by-step explanation:

Let radius of circle = 100 m

New radius = 101 m

original area = [π x (100)2 ]m2

New area = [π x (101)2 ]m2

Increase% = [π x {(101)2 - (100)2} / { π x (100)2} ] x 100 %

= 201 / 100% = 2.01%