Question

A circular wading pool has a diameter of 4 feet.A circular swimming pool has a radius of 16 feet.How many times larger is the circumference of the swimming pool than the wading pool?

Answer 1

@AllTehMaffs @

Answer 2

@Mr.ClayLordMath

Answer 3

Hi there! To start off can you tell me the equation for the circumference of a circle?

Answer 4

Pi times diameter ?

Answer 5

Close!
The circumference is 2pi*radius

Answer 6

Can you use this equation to find the circumferences of the small pool and the large pool?

Answer 7

be careful with the small pool, they gave you diameter! The radius is half of the diameter!

Answer 8

It would be 2 times pi for the wading pool

Answer 9

The equation for circumference is 2pi*r, so when we substitute the radius of the wading pool, 2, we get 2pi*2, which equals 4pi

Answer 10

Is this clear to you?

Answer 11

Yes

Answer 12

Awesome, can you get me the circumference of the large pool now?

Answer 13

32*pi

Answer 14

great!

Answer 15

So the large pool is 32pi feet, the wading pool is 4pi feet. How many times larger is 32pi than 4pi?

Answer 16

So I have to times it by pi and then subtract it?

Answer 17

It's simpler than that my friend. Remember, pi is just a number. Let's try this. How many times larger is 10 than 10?

Answer 18

100

Answer 19

10 is exactly 1 times larger than itself :)

Answer 20

10/10 is 1

Answer 21

So we find that any number divided by itself is 1, are you following?

Answer 22

Yes @IParke

Answer 23

So, remember pi is just a number. In our problem we have this:

Answer 24

8

Answer 25

look at the right hand side, you see pi divided by pi, what does that equal?

Answer 26

yes!

Answer 27

The answer is 8. Good job.

Answer 28

Thank you

Answer 29

Anytime :) Good luck on your future math endeavors!