Explanation for Question 20 From the Math (No Calc) Section on the 2020 March Sat
So now we're looking at question 20, which asks us, 2 um, what is the perimeter of a square and inches? 3 And they described the square is being inscribed in a circle that has a 4 certain radius. So the best thing you can do here to start is going 5 to be draw a picture, right? We have our circle and the square is 6 inscribed in the circle. What that means is that the squares on the inside 7 of the circle and each of the corners is going to touch a part 8 of the circle, right? 9 So it could have left a little bit, something like this, 10 this picture isn't perfect. But as a general idea, 11 right, where each corner of the square is on an edge of the circle. 12 And we're told that the radius is six root, 13 two inches, six, 14 route two inches. And so in your head, 15 the hardest part about this problem is that you need to take the circle 16 and kind of rotate it until that radius becomes something useful for you. 17 Right? If we look at it here, now we see that it's part of 18 the, uh, of the square, but we don't really know how much we don't 19 know how far down this line is square and where the circle begins. 20 But if we were to think about rotating, where we were to draw the 21 radius where this is still the center, we can draw this as being 22 the radius, right? It's still the radius nothing's changed, 23 but now it's actually useful for us because it's showing part of the diagonal 24 of the circle and part of the diagonal of the square, 25 right? So in reality, 26 this ...