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Math Videos 91 videos

ACT Aspire Math: Solving for x when It's in the Denominator
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Given the following equation, what is x?)

ACT Aspire Math: Comparing Cost per Pound of Hello Kitty Candy
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At the local candy store down the street, three pounds of Hello Kitty gummy treats cost $6.42. At the candy store across town, five pounds of Hello...

ACT Aspire Math: How Many Hundredths Are There in Four Tenths?
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How many hundredths are there in four tenths?

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ACT Aspire Math: Defining the Relationship Between Radius and Area 0 Views


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Description:

The radii of two circles have a ratio of 1:4.

What is the ratio of their areas?


Transcript

00:01

Okay Math people The ray v i and yes that's

00:05

how you spell it Of two circles have a ratio

00:07

of one to four What is the ratio of their

00:10

areas Circle versus circle smackdown What we were all getting

00:20

to place a bet on which one of these circles

00:23

would win a pie fight until we realized that this

00:26

problem doesn't even have any pie to settle the score

00:30

Well if two similar circles have radio in the ratio

00:32

of eight to be than their areas are in the

00:35

ratio of a swear to be squared and their volumes

00:38

Aaron the ratio a cube to be cubed But that's

00:41

a math factoid to save for a party that needs

00:43

livening up the areas of two circles in question have

00:46

a ratio of one squared to four squared which is

00:49

equivalent to a ratio of one to sixteen So if

00:53

you didn't remember this rule while you can also set

00:55

up a ratio using the area formula pi r squared

00:58

and you know your own numbers maintaining the ratio of

01:01

radio i wonder for a while we can imagine that

01:03

the first circle has a radius of two and the

01:05

second circle a radius of eight First circle would then

01:09

have an area of pi r squared or four pi

01:12

and the second circle would have an area of pie

01:14

eight squared or sixty four pi Well just cut out

01:17

the pie Serve yourself a slice and find the ratio

01:20

of four to sixty for which then simplifies to yes 00:01:23.812 --> [endTime] one to sixteen so the answer is d

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