P = I ( 1 + y'^2 )^1/2 dx
Where: I - Integral (from point a to point b)
suppose the circle is x^2 +y^2 + a^2
the perimetr will be 4 times the perimeter in the first quadrant
now take a small element
ds on the curve
by Pythagoras theorm
ds2 = dx2 + dy2
now rearange
to get the formula on top
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.
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.
add the sides of the polygon.
The perimeter of a polygon is the distance around the outside of the polygon. A polygon is 2-dimensional; however, perimeter is 1-dimensional and is measured in linear units.To find the perimeter of a polygon, take the sum of the length of each side.
The perimeter of a polygon is the sum of the length of each of its sides. If the polygon is a regular polygon the you can calculate the perimeter as [number of sides] *[the length of one side]
Correct.
Perimeter = 2*Area/Apothem.
Find the apothem of a regular polygon with an area of 625 m2 and a perimeter of 100 m.
Circumscribed.
To find the perimeter of any polygon, add up the lengths of all the sides.
== == Inscribed is a polygon inside a circle with all points on a given point in the circle. Circumscribed is a circle inside a polygon with any given point touching just one point on the polygon. Hope this helped.
It means drawing a circle around a polygon in such that each vertex of the polygon is on the circumference of the circle.