4 (a) (i) Show that a formul a for the area, Acm2, of a regular polygon with n sides inscribed in a circle, radius 10 cm, is A=50nsin(36 0)[2](ii) Show that a formul a for the area, Bcm2, of a regular polygon with n sides that circumscribes a circle, radius ...
A polygon is a closed two-dimensional shape with three or more straight sides. The sides of the polygon are connected to form angles, and all of these angles add up to 360 degrees. Regular polygons have equal sides and equal angles; irregular polygons do not. Polygons can also be ...
Heron's formula states that the area $K$ of a triangle with sides $a$, $b$, and $c$ is given by $$ K=\sqrt {s(s-a) (s-b) (s-c)} $$ where $s$ is the semiperimeter $(a+b+c)/2$. Brahmagupta, Robbins, Roskies, and Maley generalized this formula for polygons
Area of a polygon = (n*s^2)/(4*tan(π/n)) where n is n-sided polygon and s is the length of a side.Test Data: Input the number of sides on the polygon: 7 Input the length of one of the sides: 6Pictorial Presentation: Area of PolygonSample Solution:Java Code:import java.ut...
A regular polygon must have all sides with same length and all interior angles with the same measure, contrary to irregular polygons. If any of the sides or internal angles of a polygon does not have the same measure as the others, it is an irregular one. What is an irregular polygon ...
A polygon is a shape with at least three connected straight sides. This includes triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), n-gons (any number of sides). A regular polygon is a polygon where all sides are equal in length and all interio...
Maximum area of a region bounded by a closed polygon with given sidesPublication » Maximum area of a region bounded by a closed polygon with given sides.doi:10.2307/2688090Huseyin DemirMathematics Magazine
PolygonA = (a2× n) ÷ (4 × tan(π÷ n)) Irregular QuadrilateralA = 1/2 × d × (h1+ h2) How to Find Area of a Square A square is a polygon (two-dimensional shape) with four equal straight sides and four equal interior right angles. ...
A unit square is a square with each of its side length measuring 1 unit. Using this as a basis, the area of a polygon is the number of unit squares within a shape. To find out the area of the square figures drawn below, draw unit squares of 1-centimeter sides. Thus, the shape ...
Southeast and Southwest respectively. Number 5 only appears at the end of the sequence indicating the stop of walking. You may assume that the input polygon is valid which means that the endpoint is always the start point and the sides of the polygon are not cross to each other.Each line ...