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Measurement (Linear, Area, Three-Dimensional) Videos 10 videos
A cardboard box measures 12 inches wide, 8 inches across, and 6 inches tall. What is its volume in cubic feet?
An isosceles triangle has legs 10 units long and a base 12 units long. What is its area in square units?
A circle has an area of 225π square units. What is its circumference?
TSI Math: Working Backwards from a Circle's Area to Find Its Diameter 20 Views
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Description:
If the area of a circular cookie is 15.9 square inches, how much does it measure across?
Transcript
- 00:03
All right sy shmoop there's Another one for you If
- 00:05
the area of a circular cookie is fifteen point nine
- 00:08
square inches while big cookie how much does it measure
- 00:12
across Yeah That's A texas size cookie Okay well cookies
- 00:18
The perfect canvas for math problems That's Because cookies are
Full Transcript
- 00:21
the perfect consolation prize for a wrong solution And the
- 00:24
perfect prize for a correct solution Yeah win win Anyway
- 00:27
this example asked us to find the diameter of the
- 00:30
cookie with a given area There's no formula that links
- 00:32
the area of a circle directly to its diameter But
- 00:35
there is another way here Use the formula for the
- 00:37
area of a circle Find the radius and then double
- 00:41
it So let's start by finding the radius a equals
- 00:43
pi r squared Remember that's the formula there So they
- 00:45
give us a lot of this fifteen point nine square
- 00:48
inches is pi r squared or well we can divide
- 00:52
out pie on both sides That gets us a five
- 00:55
in change and inches there for r squared Take square
- 00:58
root of five point o six and we get a
- 01:00
two point two five inches as the radius Well now
- 01:03
that we have the radius the cookie find the diameter
- 01:06
by just multiplying it by two And that gets us
- 01:08
You have four and a half inches So that's what
- 01:10
This Cookie measures The answer is d and we're schmuck 00:01:14.031 --> [endTime] because we eat our cookies Thank you very much
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