iwanttogotostanford
  • iwanttogotostanford
HELP W? ACT PREP: The figure below shows 2 tangent circles such that the 10-centimeter diameter of the smaller circle is equal to the radius of the larger circle. What is the area, in square centimeters, of the shaded region? DRAWN BELOW
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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iwanttogotostanford
  • iwanttogotostanford
|dw:1443385130601:dw|
zepdrix
  • zepdrix
Which part is shaded? :)
iwanttogotostanford
  • iwanttogotostanford
the larger circle only

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zepdrix
  • zepdrix
Inside the big circle, but outside the small one? ah ok
iwanttogotostanford
  • iwanttogotostanford
yep
zepdrix
  • zepdrix
That's not too bad :) That's simply `the area of the big circle` - `area of the small circle`
zepdrix
  • zepdrix
You'll have to recall your area formula: \(\large\rm A=\pi r^2\) What is the area of the larger circle? Are you able to figure that out based on the information given?
iwanttogotostanford
  • iwanttogotostanford
yes! so it would be two equations, one pi (10)^2 and then the other pi(10)^2?
zepdrix
  • zepdrix
Ooo careful! :) They didn't actually tell us the `radius` of the smaller circle.
iwanttogotostanford
  • iwanttogotostanford
oh yeah ok so what do i do?
zepdrix
  • zepdrix
You have to remember the relationship bebtween `diameter` and `radius`.
iwanttogotostanford
  • iwanttogotostanford
radius is half diameter
zepdrix
  • zepdrix
Ok good :o Half of 10 is 5. So that gives us the `r` that we want to use for the smaller circle.
iwanttogotostanford
  • iwanttogotostanford
yes
zepdrix
  • zepdrix
You had your first equation correct, which corresponded to the area of the larger circle \(\large\rm \pi(10)^2\)
zepdrix
  • zepdrix
So the smaller one, which we've corrected, should be \(\large\rm \pi(5)^2\) ya? :o
iwanttogotostanford
  • iwanttogotostanford
yes
zepdrix
  • zepdrix
Square those numbers, then subtract the smaller one from the larger one
iwanttogotostanford
  • iwanttogotostanford
i forget do i use pi in the equation orr just leave it until the end
iwanttogotostanford
  • iwanttogotostanford
ok nevermind for my final answer i got 75pi
zepdrix
  • zepdrix
yay good job \c:/
iwanttogotostanford
  • iwanttogotostanford
thanks

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