Question

The ratio of a perimeter A to the perimeter to circle is B is 3:1 . What is the ratio of the area of circle A to circle B ?

Answer 1

Answer:

The ratio of the area of circle A to circle B is 9:1

Step-by-step explanation:

We know that perimeter of a circle= circumference of the circle i.e. 2πr

Let radius of circle A is r1 and radius of circle B is r2

Perimeter of circle A/Perimeter of circle B=3:1 (Given)

By using the formula we get,

2πr1/2πr2=3:1

r1/r2=3:1

r1=3r2

Now,

are of circle is π$r^{2}$

Then on applying the formula we get

π$r1^{2}$/π$r2^{2}$= π$(3r2)^{2}$/π$r2^{2}$

=9/1

Hence the ratio is 9:1(Ans)