Found 5 solutions by ikleyn, josgarithmetic, Edwin McCravy, Alan3354, MathTherapy:
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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If somebody familiar with Math will read it
"the radius of a square is . . . ",
he (or she) can lose consciousness.
So, be careful when you formulate your thoughts . . . (!)
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Dear Edwin, I saw your notice.
In response, I only can say, that at such education method, the students soon will not be able
to distinct a square from a circle and a diameter from a diagonal.
There is a film / ( a movie) "Idiocracy" exactly about such style of life and such style of education / (of teaching).
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Next Alan tries to disprove me and to teach me in his post . . .
Dear colleagues, leave these attempts - I know Geometry from "a" to "Z", along and across, in deep and in wide . . .
Regarding terminology, for regular polygons there are the terms
"the radius of the inscribed circle" and "the radius of the circumscribed circle"
- and there is NO NEED to invent other / (new) terms to replace / (to substitute) just existing.
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OK, today is the day when I teach ( = I should teach) my colleagues - tutors.
In Geometry, there is no such a term - "radius of a square".
Only totally illiterate in Geometry can use this term.
// (Despite of millions links from Google.)
There is the term "the radius of the circle circumscribed around a square", INSTEAD.
This is written for tutor @MathTherapy, personally.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Draw your picture and label all parts.
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"radius of 7(square root of 2) ft (from the center of the square to any vertex)"
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There are eight special 45-45-90 triangles; hypotenuse is . You know what to do from here.... right?
x, the side for a leg of one of those triangles; which is also half the length of the side of the original square figure.
You can find the necessary steps from this...
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
If Ikelyn will google "radius of a square" she will find that is is not uncommon
to define "the radius of a square" as the distance from the center of the square
to a vertex.
Draw a vertical line from the center to the right sides:
The right triangle is isosceles and has equal sides, x,
Divide both sides by 2
So the area of the triangle is
And as we see, the square consists of 8 such triangles:
So the area of the square is 8 times
Answer = 196 ft²
Edwin
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Any regular plane figure's dimensions can be specified, and defined by side length, apothem or radius, and the # of sides.
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Side length is the length of the sides.
Apothem is the distance from the center to any side.
Radius is the distance from the center to any vertex.
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All of us are wrong sometimes.
It's a statement of facts.
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There's no controversy, and math is not a matter of opinion. We don't vote on it.
The radius of a regular plane figure is the distance from its center to a vertex.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
What is the area of a square that has a radius of 7(square root of 2) ft (from the center of the square to any vertex)?
49 ft^2
196 ft^2
147 ft^2
196(square root of 2) ft^2
The answer that I got was 49 ft^2. I was not sure how to solve this question, if it's possible to show steps on how it was solved. Thank You!
My "TWO CENTS WORTH:" I always associate RADIUS with a CURVE, namely a CIRCLE, but learnt something when Edwin pointed out that the term is also
used to describe a line segment from the center of a square to one of its vertices, and Alan further pointing out that that
describes any line segment from the CENTER of a regular POLYGON to any one of its vertices. The person also points this out.
In this case, and with the polygon being a SQUARE, the radius can also be described as one-half the square's diagonal, in MY OPINION.
You learn something every day! At least I do!
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