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Mathematics 20 Online
OpenStudy (anonymous):

A running track is in the shape of the figure shown. What is the approximate length of one lap? Use 3.14 for pi

OpenStudy (anonymous):

terenzreignz (terenzreignz):

so you have two straight lines of length 400, so that makes 800 right?

OpenStudy (anonymous):

yes

terenzreignz (terenzreignz):

The problem is those curved ends... they are shaped like half a circle, each, but there are two halves, so you can consider them as just one circle, aye?

OpenStudy (anonymous):

yes

terenzreignz (terenzreignz):

So, you have to find the circumference of that circle. It has a radius of 200 meters, so its circumference is just 200 times pi.

OpenStudy (anonymous):

714 1200 1428 1828

terenzreignz (terenzreignz):

Sorry, a DIAMETER of 200 meters, not radius...

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

so what is the length for one lap

terenzreignz (terenzreignz):

So, what's the circumference of the circle?

OpenStudy (anonymous):

i think it would be 1200 feet is that right?

terenzreignz (terenzreignz):

I don't know, why don't we find out?

OpenStudy (anonymous):

ok

terenzreignz (terenzreignz):

So, the length of one lap

terenzreignz (terenzreignz):

It's 800 plus the circumference of the circle with diameter 200

OpenStudy (anonymous):

so 800 +200 + 200 =1200

terenzreignz (terenzreignz):

Well, why did you add 200 + 200?

OpenStudy (anonymous):

yes 400

terenzreignz (terenzreignz):

What's the circumference of the circle with diameter 200?

OpenStudy (anonymous):

idk

terenzreignz (terenzreignz):

Formula for the circumference of a circle, if you have the diameter, is to simply multiply the diameter by pi.

OpenStudy (anonymous):

ok so 200 * 3.14 = 628

terenzreignz (terenzreignz):

That's good... now add THAT to 800

OpenStudy (anonymous):

so it wouldbe 800 + 628 = 1428

terenzreignz (terenzreignz):

Precisely :)

OpenStudy (anonymous):

Ok if a perimeter of a square is 144 miles what is its area

OpenStudy (anonymous):

12 square miles 48 square miles 144 square miles 1296 square miles

terenzreignz (terenzreignz):

There really is no point posting the choices, you know :P

OpenStudy (anonymous):

yeah

terenzreignz (terenzreignz):

Now, if the perimeter of the square is 144, what's the length of one side?

OpenStudy (anonymous):

you would have to divide right

terenzreignz (terenzreignz):

Yup. With what, though?

OpenStudy (anonymous):

with 48

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