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How is the formula of a polygon closely related to the formula of the area of a circle?
Wiki User
∙ 11y ago
The area of a polygon is greater than the area of the largest circle that can be inscribed within the polygon and smaller that the area of the smallest circle in which the polygon can be enclosed. So the areas of two circles establish a lower and upper bound to the area of the polygon. In a similar fashion, the perimeter of the polygon are also bounded by the circumferences of the two circles.
This also works in reverse. That is, the area of a circle lies between the area of an inscribed polygon and that of a polygon containing the circle. And, again, the same applies to the circumference/perimeter. In fact these bounds were used to calculate the value of pi.
Wiki User
∙ 11y ago
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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.
What forms are closely related to the circle?
Ellipses.
What is the formula for surface area if the only measurement you have is the perimeter?
There can be no such formula in general. A formula will exist if the area is a regular polygon (or a circle).
What is the polygon of a circle?
A circle is not a polygon.
Is an circle a polygon?
No, a circle is not a polygon
How can a circle be a polygon?
A circle can be a polygon. Sometimes a circle can be a polygon that has infinite number of sides.
A circle inside a polygon where each side of the polygon is tangent to the circle?
the circle is inscribed in the polygon
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.
Can a circle be a polygon?
a polygon is a multi-sided shape, therefore a circle is not a polygon.
What polygon is a circle?
A polygon is a plane area bounded by straight lines. A circle consists of a curved line, not a straight line. Therefore a circle is not a polygon and conversely, no polygon can be a circle.
Can you give me a picture of a 1000000 sided polygon?
The picture looks closely to a circle because of the immense small size of each side.
What is an inscribed polygon?
A circle with a polygon in it An inscribed polygon is any polygon that can fit within a specific curve or circle.
