Question

The ratio of the radii of two wheels is 2:5. What is the ratio of their circumferences?​

Answer 1

Answer :

• The ratio of their circumference is 2 : 5

Given:

• The ratio of the radii of two wheels is 2 : 5

To find :

• Ratio of their circumference

Solution :

• Let the first circles radius be 2x
• Let the second circles radius be 5x

Now we have to find the first circle circumference:

As we know that,

• circumference = 2πr

First is 2x

● 2 × 22/7 × 2x

● 44/7 × 2x

● 88x / 7

First Circle Circumference is 88x/7

Now we have to find the second circle circumference

As we know that ,

• circumference = 2πr

second is 5x

● 2 × 22/7 × 5x

● 44/7 × 5x

● 220x / 7

Second circle circumference is 220x / 7

Now we have to find the ratio of their circumference

● 88x/7 / 220x/7

● 88x/7 × 7/220

● 2.5

Hence , The ratio of their circumference is 2 : 5

Answer 2

2/5

Step by step explanation:

Since,The radii of two wheels is in the ratio 2:5.

So,Let the radii of two wheels be 2x and 5x.

Ratio of circumference of both wheels= 2πr/2πR

=

2×22/7×2x

─────

2×22/7×3x

= 2×22/7×2x×7/22×1/2×1/5x = 2/5

so the ratio of the circumference of two circles = 2:5