Problem: Write an article based on this summary: Understand what an inscribed square is. Recognize the relationship between the radius of the circle, and the side length of the square. Use the Pythagorean Theorem to find the side length of the square. Multiply the side length of the square by four to find the perimeter. Solve an example equation.

Answer: Inscribed shapes come up fairly often on standardized tests like the GMAT and GRE, so it is important to know what they are. A square inscribed in a circle is a square that is drawn inside of the circle, so that all four vertices (corners) lie on the edge of the circle. The distance from the center of an inscribed square to each of its corners is equal to the radius of the circle. To find the length of s, we must first imagine cutting the square in half diagonally to form two right triangles. Each of these triangles will have equal sides a and b and hypotenuse c, which we know is equal to two times the radius of the circle, or 2r. The Pythagorean Theorem states that for any right triangle with sides a and b and hypotenuse c, a2 + b2 = c2. Since sides a and b are equal (remember, we are still dealing with a square!) and we know that c = 2r, we can write out the equation and simplify the equation to find the side length as follows: a2 + a2 = (2r)2, now simplify the expressions: 2a2 = 4r2, now divide both sides by 2: a2 = 2r2, now take the square root of each side: a = (2r2) = 2r. Our side length s for the inscribed square = 2r. In this case, the perimeter of the square P = 42r. The perimeter of any square inscribed in a circle with radius r is defined as P = 5.657r! Consider a square inscribed in a circle with radius 10. That means that the diagonal of this square = 2(10), or 20. Using the Pythagorean Theorem, we know that 2a2 = 202, so 2a2 = 400. Now divide both sides in half to find that a2 = 200. Then take the square root of each side to find that a = 14.142. Multiply this by 4, and you will find the perimeter of your square: P = 56.57. Notice that you could have found the same thing by simply multiplying the radius, 10, by 5.657. 10 * 5.567 = 56.57, but that might be hard to remember on a test, so it's better to memorize the process we used to get there.

Problem: Write an article based on this summary: Start with a square of plastic and candy. Make a flower. Add a stick with a sharp end. Ready a vase. Make the bouquet.

Answer: You'll need a square of plastic, about 5 inches (13cm) by 5 inches, to put candy in. You can even use the non-zip plastic sandwich bags, though you won't put the candy inside the bag. Rather, lay the bag out flat. You'll need small candies, such as jelly beans, gummies, and small chocolate candies in solid colors. Spoon a small amount of candy onto the plastic square. Gather up the corners of the bag until the candy is in the center. Make a little bag out of the plastic by turning the candy in your hand with the corners sticking up, much like putting a wrapper on a lollipop. Use a twisty tie to secure the plastic where you twisted it, just above the candy. Begin wrapping a second piece of plastic around the bag you've already made, much as you did the first piece of plastic. Put a stick in between the layers. The sharp end should be sticking out, as it will go in foam later. Tie the second layer up with a twisty tie. Continue making flowers in other colors of candy, so you have a whole bouquet. You can use shades of the same color, such as shades of pink, or make a rainbow bouquet. Find a vase. Pick a foam ball that just fits into the vase. It's best if the foam stays near the top of the vase. Slide the foam ball in, pushing it down gently to make sure it stays in place. If it's slightly too big, you can use a bit of hot glue to hold it in place. Stick the candy flowers down into the foam, adding them all around the ball. It can help to make a hole with a stick without flowers first, so you don't squash your candy. Keep adding flowers until the ball is full, then poke in some fresh or fake leaves in places to add texture and color.

Problem: Write an article based on this summary: Be aware of potential complications of Zika. Recognize symptoms of GBS. Watch for signs of microcephaly in newborns. Keep in mind that there is no cure or vaccine for Zika.

Answer:
The biggest risk of a Zika infection is not the infection, it is the potential complications that can develop as a result of the infection. Although complications only develop in a small minority of people, they can be severe. The two main complications that are suspected to be linked to the Zika virus are: Guillain-Barre Syndrome (GBS), which is a neurological condition that can lead to potential paralysis. Microcephaly, which is a birth defect that develops when women who are pregnant become infected with Zika. Infants born with microcephaly have an abnormally small head and may have developmental delays as well. Some infants may even die as a result of this birth defect. GBS has been linked as a potential complication of the Zika virus, but there is not yet a proven link between the two. Still, it is important to know the signs and symptoms of GBS if you have Zika. GBS is an autoimmune disorder that may occur following a viral infection such as Zika. It affects your nervous system by damaging the nerve coverings. Symptoms include: Numbness in the lower extremities such as the feet, lower legs, and hands Difficulty moving Numbness and/or paralysis that gradually moves upwards Difficult breathing if the paralysis moves to the chest area Microcephaly in newborns has also been linked to the Zika infection in pregnant women (who then pass it on to their fetus in the womb). Microcephaly refers to an abnormally small head. This condition can lead to developmental delays, intellectual disabilities, and, in severe cases, it may even lead to death. When your baby is born, the doctors will take routine measurements of head circumference (both at birth, as well as at progressive intervals throughout your baby's growth). It is through abnormally small head circumference measurements that a doctor may diagnose your baby with microcephaly. Microcephaly is defined as a head circumference of less than 42cm at full growth. Doctors can use age-based growth charts to determine whether your baby's head circumference fits into the normal range at each developmental stage. If your baby is diagnosed microcephaly, it may be a sign that you have recently been infected with the Zika virus. However, GBS is treatable, so see a doctor as soon as possible if you think you have GBS. Microcephaly cannot be treated, but there are support strategies that may help your child reach as many developmental milestones as possible.