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Advanced Math/Rectangle within a Circle Geometrical Shape.

Question

Level Crossing

Rectangle within a Cir
QUESTION: Dear Prof Scott

Attached images are

1.Rectangle within a Circle.
2.Level Crossing - Intersection is rectangle shape highlighted by red line.

From Rectangle's center point draw a circle, here the rectangle edges will not touch the Circle boundary.

Is the Geometrical shape attached image 1 viz Rectangle within a Circle can be constructed geometrically ?.

i.e. is it a correct geometrical shape constructed similar to a square, rectangle, semicircle, circle, triangle, pentagon, parabola etc ?.

Thanks & Regards,
Prashant S Akerkar

ANSWER: From Rectangle's center point draw a circle, here the rectangle edges will not touch the Circle boundary.
Yes, that can be done, but if the radius of the circle were drawn small enough, it could
cross the rectangle at 8 points, cross at 4 and be tangent at 2, be tangent at 2, or be
inside the rectangle.

Is the Geometrical shape attached image 1 viz Rectangle within a Circle can be constructed geometrically?
A rectangle can be drawn by drawing a line, constructing two perpendicular lines, and then
making the far side perpendicular to the lines just constructed.  It should be perpendicular
to both of them.  Connect the NE corner to the SW corner and the NW corner to the SE corner.
The intersection will be at the center.  From here, use the protractor to draw a circle
however big is desired.

i.e. is it a correct geometrical shape constructed similar to a square, rectangle, semicircle, circle, triangle, pentagon, parabola etc ?.
I'm not sure what the question here is.  I showed how to draw a rectangle and a circle.
A square is a special type of rectangle.  The semicircle could be drawn by cutting the
circle in two by putting a line through the center of it.  This makes two semicircles,
one on either side of the line.  Any other circle is similar to the one drawn since all
circles are similar.  In the drawing there is no triangle, pentagon, parabola, etc.

---------- FOLLOW-UP ----------

Cricket Ground
QUESTION: Dear Prof Scott

Thank you.

http://en.wikipedia.org/wiki/Cricket_field

As a example, It will be similar to a Cricket Ground where the
Pitch - 22 yards length a rectangle shape inside a oval shape ground.

Isn't it ?

Thanks & Regards,
Prashant S Akerkar

From reading that article, cricket is one of the few sports where the size of the field to be used is not defined.  The other sport is baseball.  I have seen many baseball games, but don't remember ever seeing a cricket game.  It seems like baseball is played in the US and cricket is played in Europe.  That leads to an interesting question:  What sports are famous for other continents?

From what I've seen in the article, the area in which cricket is played is well inside the oval (or circle) that is the playing field.  From the article, the inside of the field is called the Pitch - 22 and is in the center of the outer field.

From what I've read, there are terms like, "bouncing", and "bowling".  I have no idea what is involved in this sport.  In America, it seems like a "bouncer" is someone who works at a bar and a "bowler" is some who plays at a game called, "bowling".  Do you know anything about bowling, or is that an American sport?  It would be helpful to get a description of cricket.

Questioner's Rating
 Rating(1-10) Knowledgeability = 10 Clarity of Response = 10 Politeness = 10 Comment Dear Prof Scott Thank you. Thanks & Regards, Prashant S Akerkar

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Scott A Wilson

Expertise

I can answer any question in general math, arithetic, discret math, algebra, box problems, geometry, filling a tank with water, trigonometry, pre-calculus, linear algebra, complex mathematics, probability, statistics, and most of anything else that relates to math. I can also say that I broke 5 minutes for a mile, which is over 12 mph, but is that relevant?

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Experience in the area; I have tutored people in the above areas of mathematics for over two years in AllExperts.com. I have tutored people here and there in mathematics since before I received a BS degree back in 1984. In just two more years, I received an MS degree as well, but more on that later. I tutored at OSU in the math center for all six years I was there. Most students offering assistance were juniors, seniors, or graduate students. I was allowed to tutor as a freshman. I tutored at Mathnasium for well over a year. I worked at The Boeing Company for over 5 years. I received an MS degreee in Mathematics from Oregon State Univeristy. The classes I took were over 100 hours of upper division credits in mathematical courses such as calculus, statistics, probabilty, linear algrebra, powers, linear regression, matrices, and more. I graduated with honors in both my BS and MS degrees. Past/Present Clients: College Students at Oregon State University, various math people since college, over 7,500 people on the PC from the US and rest the world.

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My master's paper was published in the OSU journal. The subject of it was Numerical Analysis used in shock waves and rarefaction fans. It dealt with discontinuities that arose over time. They were solved using the Leap Frog method. That method was used and improvements of it were shown. The improvements were by Enquist-Osher, Godunov, and Lax-Wendroff.

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Master of Science at OSU with high honors in mathematics. Bachelor of Science at OSU with high honors in mathematical sciences. This degree involved mathematics, statistics, and computer science. I also took sophmore level physics and chemistry while I was attending college. On the side I took raquetball, but that's still not relevant.

Awards and Honors
I earned high honors in both my BS degree and MS degree from Oregon State. I was in near the top in most of my classes. In several classes in mathematics, I was first. In a class of over 100 students, I was always one of the first ones to complete the test. I graduated with well over 50 credits in upper division mathematics.

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My clients have been students at OSU, people who live nearby, friends with math questions, and several people every day on the PC. I would guess that you are probably going to be one more.