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let r = radius, Area = [r^2 x 3^(1/2)]/4

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Q: Area of a square circumscribed about a circle?
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Related questions

Circumscribe in a sentence?

He circumscribed the square with a circle


What is circumscribed area and inscribed area of regular polygon?

circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.


How do you find the smallest possible area of an isosceles triangle that is circumscribed about a circle of radius r?

It is 5.196*r^2 square units.


What is the area of the region bounded by its inscribe and circumscribe circle whose side of a square is 10cm?

If I understand your question correctly, you would need to subtract the area of the inscribed circle from the circumscribed circle. Which would approximately be 78.60cm squared.


What parallelograms can go inside a circumscribed circle?

A square and rectangle can fit in a circle with all corners touching the circle.


The side of a square is 20 cmfind the areas of the circumscribed and inscribed circles?

The radius length r of the inscribed circle equals to one half of the length side of the square, 10 cm. The area A of the inscribed circle: A = pir2 = 102pi ≈ 314 cm2 The radius length r of the circumscribed circle equals to one half of the length diagonal of the square. Since the diagonals of the square are congruent and perpendicular to each other, and bisect the angles of the square, we have sin 45⁰ = length of one half of the diagonal/length of the square side sin 45⁰ = r/20 cm r = (20 cm)(sin 45⁰) The area A of the circumscribed circle: A = pir2 = [(20 cm)(sin 45⁰)]2pi ≈ 628 cm2.


The center of a circumscribed circle is called what?

the center of a circumscribed circle is called the focus.


What is the ratio of the area of the circumscribed square to the area of the inscribed square?

If we denote the measure of the length side of the circumscribed square with a, then the vertexes of the inscribed square will point at the midpoint of the side, a, of the circumscribed square.The area of the circumscribed square is a^2The square measure of the length of the inscribed square, which is also the area of this square, will be equal to [(a/2)^2 + (a/2)^2]. Let's find it:[(a/2)^2 + (a/2)^2]= (a^2/4 + a^2/4)= 2(a^2)/4= a^2/2Thus their ratio is:a^2/(a^2/2)=[(a^2)(2)]/a^2 Simplify;= 2


To circumscribed a circle about a triangle you use the?

To circumscribed a circle about a triangle you use the angle. This is to get the right measurements.


How could you contrust a rhombus circumscribed in a circle?

You cannot circumscribe a "true rhombus". The opposite angles of a circumscribed quadrilateral must be supplementary whereas the opposite angles of a rhombus must be equal. That means a circumscribed rhombus is really a square.


What is a circumscribed polygon?

A circumscribed polygon is a polygon all of whose vertices are on the circumference of a circle. The circle is called the circumscribing circle and the radius of the circle is the circumradius of the polygon.


How many circumscribed circles can a triangle have?

A triangle has exactly one circumscribed circle.