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Basic Math/Rectangle within a Circle Geometrical Shape.

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Question
Rectangle within a Circle
Rectangle within a Cir  

Level Crossing
Level Crossing  
Dear Prof Abe

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 ?.


Awaiting your reply,

Thanks & Regards,
Prashant S Akerkar

Answer
Hello Prashant,

I do not understand your questions.

1. Are you asking if a circle can be constructed show its center coincides with the center
.  of a rectangle so that the rectangle does not intersect the circle?  The answer is YES!
.  All you need is the radius of the circle to be greater than the distance from the center
.  of the rectangle to one of its corners.

2. What is the question here?

Abe

Basic Math

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Abe Mantell

Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience

Over 15 years teaching at the college level.

Organizations belong to
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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