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iwanttogotostanford
 one year ago
HELP W? ACT PREP: The figure below shows 2 tangent circles such that the 10centimeter 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
iwanttogotostanford
 one year ago
HELP W? ACT PREP: The figure below shows 2 tangent circles such that the 10centimeter 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

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iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443385130601:dw

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Which part is shaded? :)

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1the larger circle only

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Inside the big circle, but outside the small one? ah ok

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1That's not too bad :) That's simply `the area of the big circle`  `area of the small circle`

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1You'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
 one year ago
Best ResponseYou've already chosen the best response.1yes! so it would be two equations, one pi (10)^2 and then the other pi(10)^2?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Ooo careful! :) They didn't actually tell us the `radius` of the smaller circle.

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1oh yeah ok so what do i do?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1You have to remember the relationship bebtween `diameter` and `radius`.

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1radius is half diameter

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Ok good :o Half of 10 is 5. So that gives us the `r` that we want to use for the smaller circle.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1You had your first equation correct, which corresponded to the area of the larger circle \(\large\rm \pi(10)^2\)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So the smaller one, which we've corrected, should be \(\large\rm \pi(5)^2\) ya? :o

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Square those numbers, then subtract the smaller one from the larger one

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1i forget do i use pi in the equation orr just leave it until the end

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1ok nevermind for my final answer i got 75pi
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