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anonymous
 one year ago
Use geometry to evaluate
https://i.gyazo.com/82a9844552783f2bbc8a49003e361671.png
anonymous
 one year ago
Use geometry to evaluate https://i.gyazo.com/82a9844552783f2bbc8a49003e361671.png

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know how to solve it but what do they mean "use geometry"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@zzr0ck3r Can you give me a hand?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@dan815 Maybe you could help?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.2Hint: see drawing below: dw:1441330734684:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't get it @mathmate :/

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You don't have to evaluate an integral. \(y=\sqrt{4x^2}\) is the equation for the top half of a circle with radius 2, centered at the origin. That's what @mathmate drew. They only want the integral from 0 to 2, so they want the area of ¼ of the circle.dw:1441403513050:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok, that makes sense but how would I find that area?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you by any chance set it up for me? I'm more of a visual person, so I tend to retrace what someone has done to learn it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there's nothing to set up here. You just plug in 2 into the formula for area of a circle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Why? I don't get it :/ Even if I plug in 2 for the area I'd get the radius no?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry, I'm really not sure what's confusing you. This is a straight up geometry problem. If the RADIUS of a circle is 2, what's the AREA of a quarter of the circle? \[A = \pi r^2\] Plug in 2 for r to get the area of the whole circle. Then divide the area by 4 to get the area of a quarter of the circle. That's literally all there is to it. Nothing to set up or integrate. No calculus involved here other than knowing that a definite integral gives the area under a curve.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.2"I know how to solve it but what do they mean "use geometry" If you are not sure, you can also check your answer using geometry with your answer by integration.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You see I'm very bad with geometry, so if I solve using calculus, I'd get the same answer correct?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes. same result either way
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