ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Math Videos 91 videos
Given the following equation, what is x?)
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...
How many hundredths are there in four tenths?
ACT Aspire Math: Defining the Relationship Between Radius and Area 0 Views
Share It!
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
Full Transcript
- 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
Related Videos
Which of the following sentences provides the best description of the events in the passage?
Lucy runs to the edge of Kensington Gardens because...
Immediately before Lucy lays her hand on her father's knee, she was...
In contrast to Lucy's reaction to the lady, Mr. Rayburn's reaction is characterized by:
Mr. Rayburn is most likely reading the newspaper in order to: