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Advanced Math/General Form of the equation of the circle
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Question
I was reading your post on the standard form of a circle and I think I got that but I am having trouble understanding the general form. For instance if the Center is 0,0 and the raius is 4 how would that equation look?
Hello Justin,
It would basically look like this. (x-0)^2 + (y-0)^2 = 4^2
which is basically x^2 + y^2 = 16.
Now this is the general form because basically, it is centered at 0,0 and has a radius of 4. So if we take a point on the circle, by the pythagorean theorem, we know that (x-0)^2 + (y-0)^2 = 4^2. That is why this is the general form.
Good question.
I hope this helped,
Robi
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Answers by Expert:
Robi Bhattacharjee
Expertise
I can answer a variety of questions on mathematics. Questions on trigonometry, calculus(preferably single variable), algebra, geometry, and number theory will be answered. I cannot answer questions on abstract branches of mathematics such as group theory. I also cannot answer questions on statistics. In number theory, I can answer questions on congruences, prime numbers, units, functions, and the riemann-zeta function.
Experience
I have studied advanced math my entire life. I started calculus in sixth grade. I have attended numerous math competitions and I am attending math organizations such as the San-Diego math circle. Also, this year I have been invited to the USAMO which is a prestigious math competition (Every year the USAMO invites 500 students from across the USA to participate in this competition. The top 6 go to represent the USA in the International Math Olympiad).
Organizations
I am in the San Diego Math Circle
Education/Credentials
I am entering high school and have received a perfect score and the STAR test 5 times in a row. I also have gotten recognitions in the AMC 10, AIME, Math Counts, and ARML. Additionally, I have won the San Diego Math Olimpiad twice in a row.
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