Question

The radius of a circle is increased by 1%. Find how much % does its area increases?

a. 1.01%

b. 5.01%

c. 3.01%

d. 2.01

Answer 1

Answer:

2.01 I hope so.

Step-by-step explanation:

Because radius is the half of the circle

Answer 2

Answer:1%

Step-by-step explanation:

Area of a circle is given by

A= πr^2

Now if r is increased by 1% then

r'=r+(1/100)r=101r/100=1.01 r

Now new area A'=πr'^2

=π(1.01r)^2

Increase in area=[π(1.01)r^2]-πr^2}*

=πr^2(1.01-1)=0.01πr^2

% increase in area={0.01×100%}=1%