Question

Kara's family is installing a circular pool in their back yard. The pool has a diameter of 12 feet and a circumference of 38.0 feet. What are the dimensions of Kara's pool, in meters (m)?

Answer 1

By dimensions is the question asking for the box that fits perfectly around the circle?

Answer 2

no

Answer 3

Convert feet to meters

Answer 4

perimeter, area, volume? well, perimeter eh, since meters. but then circumference is there already

Answer 5

oh. duhhh

Answer 6

A. diameter: 1.8 m, circumference: 11.6 m
B. diameter: 3.7 m, circumference: 11.6 m
C. diameter: 4.0 m, circumference: 12.7 m
D. diameter: 4.7 m, circumference: 15.0 m
these are my options but i dont get to any of them? what do i do?

Answer 7

I gave you a hint. Do you know how to convert feet to meters?

Answer 8

should i say the conversion, hero?

Answer 9

Yes, that would be the 2nd Hint

Answer 10

plop

Answer 11

NotTim, that wasn't exactly what I had in mind

Answer 12

ehh...no?

Answer 13

I don't know how many feet are in a meter, but I know that there's around 2.54 cm in an inch, 12 inches in a foot, and 100 cm in a meter. Dimensional analysis:

Anything over itself is equal to 1.
a/a = 1
2ft/2ft = 1
etc...
So,
1in/2.54 cm = 1 = 2.54cm/1in

Also, anything multiplied by 1 is equal to itself.
1*a = a
2ft/2ft * 10mi = 10mi
etc...

Using this, we can strategically multiply the number we're trying to convert, 12ft, in such a way that eliminates the current units and leaves us with the one we desire.

12ft/1 * 1 = 12ft/1
12ft/1 * 12in/1ft = 12ft/1
Feet on top and bottom, cancels out.
12*12in = 12ft/1
144in/1 = 12ft/1
144in/1 * 2.54cm/1in = 12ft/1
Inches cancel out, multiply.
365.76cm/1 = 12ft/1
365.76cm/1 * m/100cm = 12ft/1
Centimeters cancel out, divide.
3.6576m = 12ft

Rounds to 3.7m.

The circumference of a circle is equal to 2πr = πd (r is radius, d is diameter which is twice the radius). This is just something you memorize.

C = π * d = π * 3.7m
C = 3.7πm
C approx = 11.624m

Answer is B. diameter: 3.7 m, circumference: 11.6 m

Answer 14

serrr-fump. copy, paste, and answa!

Answer 15

thank you guys ill let you know if i get it right in a few! :p

Answer 16

NotTim, I wrote all of that myself.

Answer 17

whoaaa.......dedication! congrats, piggie

Answer 18

@bluepig148 , posting the conversion rate would have sufficed.

Answer 19

i got it right thank u guys gtg peace! :)

Answer 20

I value intuition more than memorization. I don't know the conversion rate. If this were a real situation or one similar to it, knowledge of dimensional analysis would have saved me - not a conversion rate once learned and then forgotten.

Answer 21

It looks like you went around in one gigantic circle just to get to a result that was simple to compute.

Answer 22

KIS-Keep is simple, friend

Answer 23

When I was learning about conversions every lesson and example problem was an exercise in dimensional analysis. I don't see why this question would have been asked if it wasn't about that. Also, quit nit picking at everything I say.

Answer 24

I wasn't trying to nit-pick. I was just giving a suggestion

Answer 25

occam's razor!

Answer 26

The more information you give, the more likely it is to confuse the poster.

Answer 27

NotTim, I think understanding is simpler than memorization.

Answer 28

Giving simple to follow step by step hints is more effective than posting all of that.

Answer 29

eh, simple is different for every1, eh?