Area of the Shaded Region Using Squares & Circles | SAT Math | JusticeTheTutor #maths #math #shorts

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are you allowed to assume that that is a 90° angle?

salmiac-
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3 Things
1. Lets assume that its a square
2. Lets assume the square’s angle is the center of the circle
3. Assume that the rounded figure is a circle

alithemathguy
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You can't solve this unless the question either states it is a square, or that is a right angle.

someguy
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There needs to be a symbol to indicate that they are all right angles
edit: please stop fighting.

itstheVD
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The correct answer is “no thanks”, you can’t just assume stuff if they haven’t been stated.

FlyingIceman
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Imma need a 90° sign before doing that

tdl
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I love the "no thanks" option, so hilarious 😂

perlkoblin
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There's a quicker way to solve this question through elimination:
1. Eliminate B because the answer is negative and an area can't be negative
2. Now you have to realize that you're subtracting the area of a circle from the area of a square. The area of a circle will almost always have the number Pi in it in these tests. Between the two remaining answers choose the one that has an integer minus Pi (in this case that's answer C)

This won't always work but if you're pressed for time it's much quicker than actually calculating the area.

Good luck!

fyukfy
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Teachers would be like “well how do you know its 1/4 of a circle, show your work”

ScoobySnaxs
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Another thing you could do is just go, 16-16pi is negative, and it can’t be 4pi because 4pi is the size of over half the square. By ruling out those two options, the only possible answer is 16-4pi.

Schros_kitty
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3 things
Let’s assume that it’s a right angle
Let’s assume it’s a square
Let’s assume it’s at the centre

littlegreen
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Man, that's a lot of assuming you have to do.

mychuchiii
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You can also do it with cancelling answers. The first one isn’t correct because the area of a square doesn’t contain pi, and the second one is incorrect because the area of the square is bigger than the sector area (it’s literally negative), and lastly the last one is incorrect because this is not a flexible drawing (calculate-able).

AngryEgg
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It’s always great when someone solved a problem they created. What a genius.

ZaTalks
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No way this is a sat question, I should’ve moved to the US man

purpledurple
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If this question was on my SAT, I'm circling c but I'm also writing something to chastise the question writer for not indicating if these are regular shapes or not

failurefiend
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This assumes the 4 is actually representing the value of 4. I had a Math teacher who put on a quiz a question where the numbers on the figure were actually symbols for different numbers. The key was on the other page, and written very small.

Yeah, he was a dick. His car got keyed like three times I think.

GallerySpecter
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Technically you could call this question invalid because it doesn’t specific say that 4 is the radius of the circle. It also doesn’t say that there is a perfect 90 degree angle so you’d have to assume a lot to even begin to answer the question

TheSket
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That’s the calculative answer, the eliminatory one is :
A) doesn’t mean anything, 4pi doesn’t makes sense, plus it’s too much, and it would be the perimeter or the surface of a circle with a radius equals to 2
B) is also false cause 16 - 16pi is negative, but we want a surface which implies it’s positive
D) is obviously not the answer
C) is the one

adrienmigliore
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I’m glad there are people that do like math cuz I sure don’t.

SeekingSuccess