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# Basic Math/Rectangle within a Circle Geometrical Shape.

Question
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 ?.

Thanks & Regards,
Prashant S Akerkar

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

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

Basic Math

Volunteer

#### 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