[March SAT Math] Every SAT Circle Question Types - Summarized + Practices

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WHAT IS UP SAT HACKERS!

Welcome to today’s video on circles. We are going to go over the three types of questions you must know to answer all the circle questions on the SAT.

Type 1: Arc Length & Sector Area
What you need to know - 2 Equations
How to recognize - mentions the word arc/sector, or deals with a portion of the circle’s area or circumference
What to be aware of - the equation itself is equal to the arc length/ sector area, but the harder questions will ask you to find the radius with the given arc length or sector area. In other words, you want to know how to move variables around & isolate what you are looking for

Type 2: Characteristics of the circle
What you need to know - Memorize all the characteristics given in the private lecture
How to recognize - The question will hint at it using certain keywords (like tangent to the circle). When you see them, you want to test them out to see if it’s what the questions testing.
What to be aware of - Make sure you memorize ALL the characteristics. It’s one of those questions in which you know it or you don’t.

Type 3: Equation of the circle
What you need to know - Basic structure of the equation & completing the square (covered in the private lecture)
How to recognize - mentions the circle in the question & gives equations in choices (or vice versa)
What to be aware of - On the left side of the equation, the X & Y must be added (like (x-h)^2 ++++++++ (y-k)^2). If it’s subtracted, the equation will not show the center/radius and wouldn’t work. Covered in detail at the private lecture

Two brains are better than one: let's work together to HACK this bad boy and get that 800!
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FAQ
Name: John
Where did you study - Emory University
What did you major in - Economics & Psychology
How long have you been teaching - Since 2012
Why do you decide to teach - It was tough for me to figure it all out when I was in high school, and my goal is to make it a lot easier for current students
Can you make videos on Reading & Writing - I don’t know those sections well enough to talk about them.
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[JohnSAT]

Yes, these materials are still tested on the digital SAT. If anything new is added, will create a new video.

Guys, so I don't know what I was going through that day but the correct answer to the first question is 8. Ignore the little 4's added in and just follow the audio (what I say in the video)

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[prod.theozim]

that is the best intro ive ever watched

[JohnSAT]

There's a little mistake for #1 (4:14) - Ignore the red 4's and just follow to what I say & write on the screen. The answer is 8.

[wajeeha]

this man teaches with personality, we need more like u

[zoecetkovic]

bro, you deserve a nobel prize for this serie of videos. You're helping and saving lives

[theclowns]

I’ve been struggling with circles for sooo long. I’ve watched multiple vids and non of them helped besides yours. THANK YOU SO MUCH!!!

[cecio]

please he's so dramatic i love it

[temuulev]

feels like he's trying hard to make us understand! appreciate it man ❤️

[tylermorris]

example 1 (3:14) becomes even easier if you use s=θr for arc length where θ is in radians. 180° is equal to π radians, so you end up with 8π=πr for your equation. if you know this, then getting the answer becomes much easier because all you have to do is divide out π. 8π/π = 8, the answer is C. if you're familiar with radians i'd definitely recommend you use them for problems like this

example 2 (7:25) also becomes easier if you know that 120° is equal to 2π/3 radians. if you keep the radius as 96/2π and plug it into s=θr, you get s=(2π/3)(96/2π). 2π cancels out and 96/3 is 32.

[sreshtaloka]

in case anyone's confused about the problem at 0:44: you have to use the properties of quadrilaterals as well as the inscribed angle theorem to set up an equation and solve for x. all the inner angles of a quadrilateral add to 360 degrees, and the inscribed angle theorem says that an inscribed angle (angle with the vertex on the circumference of the circle) is equal to half of the central angle subtending the same arc. this tells us that a=x/2, and knowing that P=360-x we can set up an equation to solve for x as follows: 20+20+x/2+(360-x)=360, which simplifies to x=80. hope this helps!

[aishwaryaiyer]

for the first q, the circumference is just 2 times the arc length, 2 x 8pi = 16pi. so 2 x pi x r = 16 pi, therefore r = 8. much easier!

[mariasamoo]

I genuinely wanna thank you, you put efforts into your videos and honestly I don’t know what would i do if you didn’t make these little videos. They have helped me immensely. I don’t stand a chance when it comes to maths but I guess that’ll have to change now lol ❤ thanks man!

[MiCicovers]

the skit at the beginning was gold, thank you so much for the help!!

[sowo]

A little shortcut for 4:43, C represents circumference = 2 pi x r or pi x diameter. The Arc length: Circumference multiplied by the angle over 360. Basically 96 x 120/360 = 32. There's no need to do the extra.

[Cristianoronaldo-hyeh]

One more tip. The kite type figure is called a cyclic quadrilateral and it has a property that opposite angles are supplementary ie if that was 60 the other ones 120 straight away

[pnkflamng]

math has been my best subject in everything for as long as i can remember but these SAT math questions screw me over so bad to the point my R&W scores are unbelievably higher. so thank you for making these life changing videos because my whole life depends on this score, literally.

[NneomaIjeoma]

This intro is so enticing
It makes you want to watch the video till the end.
I really appreciate how well you teach
Thank you

[pengwino]

I appreciate the intros and personality actually making the video engaging

[oikawaspeach_]

my guy ur literally saving my life ilysm<3333

[n-kay]

I cannot thank you enough man, literally a lifesaver!!