Problem: Write an article based on this summary: Try this experiment to calculate pi by throwing hotdogs.

Answer: Pi, it turns out, also has a place in an interesting thought experiment called Buffon's Needle Problem, which seeks to determine the likelihood that randomly tossed uniform elongated objects will land either between or crossing a series of parallel lines on the floor. It turns out that if the distance between the lines is the same as the length of the tossed objects, the number of times the objects land across the lines out of a large number of throws can be used to calculate pi. Check out the above WikiHow article link for a fun breakdown of this experiment using thrown food. Scientists and mathematicians have not figured out a way to calculate pi exactly, since they have not been able to find a material so thin that it will work to find exact calculations.

Problem: Write an article based on this summary: Show her how much you care. Learn to compromise. Don't try to be perfect. Be open. Make an effort to communicate. Make time for her.

Answer:
If you want to have a meaningful relationship with a girl who trusts you, then one of the most important things you have to do is let her know how much you care about her. Tell her you love her, give her meaningful compliments, spend time with her, plan romantic dates, and always let her know how lucky you are. Don't ever take her for granted or she may feel like she can't trust you because you're losing interest. You don't have to smother her with hugs and kisses all the time, especially if that's not your thing. However, you have to find a way to let her know you care every time you're together. Getting her a meaningful gift just because, instead of because it's Valentine's Day or her birthday, can really show her that she matters to you. It's the thought that counts, not the price tag. Write her love letters to surprise her when she's having a bad day. If you do this when she least expects it, she'll be charmed. If you really want to continue a serious relationship with this girl and to make her trust you, then you have to be able to compromise with her. Let her see that you don't always need to get your way and that you want her to be happy, too. Even if you're working on winning back her trust, you don't have to completely give in to her every single time, or she'll think you don't have a backbone. Instead, work on having productive conversations that weigh the pros and cons of a decision, and on finding a way that can make both of you happy. She'll see that she can trust you if it looks like you really take her thoughts and feelings into account instead of just always wanting to get your way. Sometimes, you should just give in and let her see the movie she wants to see or go to the restaurant she's been craving; this is okay as long as sometimes, she gives in to you as well. You may think that, if you want the girl to trust you, that you have to be Mr. Perfect all the time, and that you can't possibly ever disappoint her. While you should be loyal and reliable, you shouldn't put too much pressure on yourself to be absolutely perfect. Make an effort to be the best person you can be, and she'll feel like she can really trust you because of it. That said, this is no excuse for cheating. Cheating is never acceptable. If you show up late to a date, just apologize and show her how sorry you are. As long as you don't make a habit of it, she'll appreciate the fact that you're willing to admit you made a mistake. You should also be okay with saying, "I don't know". You don't always have to act like you know exactly what to do if you want her to trust you. In fact, she may be even more eager to trust you if she knows you're honest about your feelings. Another thing you can do to make her trust you is to be open about your feelings. Let her see that you want to confide in her, to be frank with her, and that you're willing to tear down those walls for her. While you don't have to reveal every single secret you have to her, you should work on being open and honest when you're talking to her, whether you're telling her what you did this past weekend or you're talking about your concerns about your college major. If you're open on a regular basis, she'll see that she's able to trust you in the long term. If something is troubling you, you should be comfortable enough to open up to her about it, even if it's a little bit embarrassing or you worry it'll make her think less of you. If you never tell her about your problems, then she'll feel like she should never open up to you, either. If you're having a bad day, you can be honest with her about it, explaining what's going on. You don't want her to think you have to hide everything from her. If you hide things from her, then she'll hide things from you, too. To maintain a meaningful relationship with a girl who trusts you, you have to be open and willing to communicate with her. You can't brush her off every time she wants to have a talk, and you have to make her feel comfortable with bringing up issues to you. When she talks to you, make sure you're open to having a conversation and that you really stop and listen. If you have something to say to her, don't put it off or be passive aggressive instead of hashing it out. Communication is key in any healthy relationship. If you want the girl to trust you in the long run, then you have to make her feel like you're open to talking about your relationship and sharing your feelings with her. If she feels scared about sharing her feelings with you because she thinks you'll be angry or dismissive, then she won't be able to really trust you. If you want to make your relationship with the girl work and really want her to trust you, then you have to be able to make time for her and to show her that she's a priority. If you spend too much time with your buddies or don't answer your phone for hours, then she's likely to not trust you because she won't know what you're doing when you're not around. Make an effort to be there for her, to have a regular hangout routine, and to let her know what you're doing when you're not together. Putting in a time commitment is essential to making her trust you. If you know you won't have your phone on for a few hours, because you'll be in a long meeting or watching a movie, you can text her before to say hi and let her know what's up. Of course, you don't have to be accountable for every minute of your life and that can get exhausting, but letting her generally know how you spend your time can really help her trust you. Making time for her shows that she's central to your life. This is crucial for making her trust and believe in you.