2. The ratio of the perimeter of circle A to the
perimeter of circle A to the perimeter of circle B is 3:1. What is the ratio of the
area of circle A to the area of circle B?
Answers
Answer:
P1: P2 = 3:1
2πr 1:2πr 2= 3:l
ri: r2=3:l
A1: A2 = πr 1^2:πr 2^2
= π3^2:πI^2
= 9:1
ratio of areas=9:1
Answer:
The ratio of the area of circle A to the area of circle B 9:1 .
Step-by-step explanation:
Given -
The ratio of the perimeter of circle A to the perimeter of circle B is 3:1.
To find -
The ratio of the area of circle A to the area of circle B
Solution -
As we know that,
Perimeter of circle =
Where,
r = radius of circle
let , the perimeter of circle A is 3x having radius and the the perimeter of circle B is 1x having radius
So, we can write given information as,
Put the given values,
As 2 π is present numerator as well as denominator it get cancel .
As is present numerator as well as denominator it get cancel .
∴ Ration of radius of circle A is to B is
Area of a circle =
By taking ration π get cancel .
So, we can say that
Area of circle is directly proportional to the square radius of a circle.
∴ The ratio of the area of circle A to the area of circle B 9:1 .