tough math question

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<p>but i don't know the accurate answer is it c or d ?? ?</p>

<p>I believe the correct answer is (D).</p>

<p>If you assign values of 6, 8, and 10 to the triangle, then the sum of the areas of the half triangles add to 25pi divided by 2.</p>

<p>Given these assigned numbers, the hypotenuse is 1. Answer choice (D) is equal to 100pi divided by 8, which reduces to 25pi divided by 2.</p>

<p>Sorry, I jus proofread my answer above. The hypotenuse is 10, not 1.</p>

<p>@‌zxm123
Answer is D. </p>

<p>Area of semi-circle with diameter of AC is half the area of the corresponding circle or pi(AC)^2/8, and similarly area of semi-circle with diameter of AB is pi(AB)^2/8. Sum of the areas is pi[AC^2 + AB^2]/8. Also from Pythagorean theorem: AB^2 + AC^2 = k^2, therefore the area is equal to pi(k^2)/8. </p>

<p>@satQuantum ( thnx u :smiley: )<br>
my score is 620 andi want to raise my score to 700+ ( i will enter the test again in may )so can u give me any tips ?
i usually miss the beginnings of the section not the endings ( silly mistakes kills me ) </p>

<p>@‌zxm123</p>

<p>It is a lot easier to miss the easy/medium questions than the harder ones, this is partly because the easier/medium ones rely on language and one has to read them carefully and read them several times. </p>

<p>The best way to improve on those is to do timed practice and make a conscious effort to read them carefully and not your guard down. With enough practice you will figure out where to pay attention and not fall for the common traps. Of course, make sure you practice with official practice tests. </p>

<p>I also wrote a post on how to reduce careless mistakes. Here is the text of that post and a link at the bottom:</p>

<p>Here I list several strategies that can help you curb careless mistakes during the SAT test:</p>

<p>Read Carefully: Read the question very carefully and read it several times. On the difficult problems, you will not grasp the entire question on one reading. You may have to read it two or three times, or more. In general, harder questions require several readings. </p>

<p>Stay organized: Do all of your scratch work in a systematic manner. Write in the blank area in the test booklet.</p>

<p>Write legibly: Your work should be clear enough that you can read your own handwriting. This is helpful in situations when you end up with an answer that is not in one of the answer choices. This often happens when one makes a careless mistake. To spot your mistake it helps if your work is written in a clear and legible manner.</p>

<p>Don’t use the Calculator: I know a lot of students are completely reliant on the calculator, and many people would disagree with me when I suggest not using the calculator. All of the SAT math questions are written in a way that they can be solved without the use of calculator, and on many questions it might be to your advantage not to use the calculator. The problem with doing your work on the calculator is that you cannot go back to check your steps if you made a mistake. In contrast, it is a lot easier to spot a mistake if you have the steps written in your test booklet.</p>

<p>Redraw diagrams: On the SAT one does not need to redraw things, but I find redrawing helps me digest the problem and also help me see the solution.</p>

<p>Slow Down: Don’t rush off to attack the problem immediately and don’t change the problem to what you think it is asking, be careful about that temptation.</p>

<p>Recognize the Difficulty Level of a Question: Look at the Official SAT tests and recognize where the difficult questions are, generally at the end of each subsection. Keep an eye on the medium level questions where you are likely to trip on misreading the question. The easy/medium questions rely more on how the question is phrased, whereas the harder questions test advanced concepts and one is less likely to trip on verbiage.</p>

<p>Reread the question at the end: Once you have completed the problem, reread the question to make sure you are answering what the question is asking for. For example, if you defined a variable x to solve the problem, check to make sure the question is not asking for the value of x-2.</p>

<p><a href=“How to Stop Making Careless Mistakes on the SAT Math? - SAT Quantum”>How to Stop Making Careless Mistakes on the SAT Math? - SAT Quantum;

<p>^That’s an excellent list. Every one of those items corresponds with silly errors I have seen many times over the years. </p>

<p>I’m guessing most people won’t bother with the redrawing idea. But it is worth trying, especially on a problem with a diagram that is not to scale. A neat re-draw often triggers the flash of insight that the non-scale diagram was deliberately obscuring.</p>

<p>The only one I’m not on board with is the calculator. That one really depends on the individual student. But it’s true for the top scorers.</p>

<p>As for the way I solved it… I assumed the area of a semicircle as pi.d^2/4 so when u add both AC^2 and AB^2 using the Pythagorean theorem you are going to end up with k^2 so you substitute and you’ll get 2pi.k^2/16 which simplifies to the formula pi.k^2/8 and it’s the right answer… @SATQuantum‌ I didn’t really understand how u got the pi.AC^2/8 instantly as I got 4 in the denominator ?? Can u please explain your way to me…</p>