Question

the ratio of radii of two circle is 3:5 find 1). the ratio of their circumfrence. 2). the ratio of their areas.​

Answer 1

Answer :

• The ratio of their circumference is 3:5
• The ratio of their areas is 9 : 25

Given :

• Ratio of radii of two circles is 3 : 5

To find:

• The ratio of their circumfrence
• The ratio of their areas

Solution :

Given That , the ratio of radii of two circles is 3 : 5 so ,

• r₁ : r₂ = 3 : 5

Now we have to find the ratio of their circumfrence:

● 2πr₁ : 2πr₂

● 2 × π × 3 : 2 × π × 5

Remove 2 and π

● 3 : 5

Hence , The ratio of their circumference is 3 : 5

Now we have to find the ratio if their areas

As we know that ,

• Area of circles = πr²

● πr₁² : πr₂²

● π(3)² : π(5)²

● π(9) : π(25)

Remove π

● 9 : 25

Hence , The ratio of their areas is 9 : 25 .

Answer 2

Step-by-step explanation:

The ratio of their circumference is 3:5

The ratio of their areas is 9 : 25

Given :

Ratio of radii of two circles is 3 : 5

To find:

The ratio of their circumfrence

The ratio of their areas

Solution :

Given That , the ratio of radii of two circles is 3 : 5 so ,

r₁ : r₂ = 3 : 5

Now we have to find the ratio of their circumfrence:

● 2πr₁ : 2πr₂

● 2 × π × 3 : 2 × π × 5

Remove 2 and π

● 3 : 5

Hence , The ratio of their circumference is 3 : 5

Now we have to find the ratio if their areas

As we know that ,

Area of circles = πr²

● πr₁² : πr₂²

● π(3)² : π(5)²

● π(9) : π(25)

Remove π

● 9 : 25

Hence , The ratio of their areas is 9 : 25 .