The number of diagonals of a polygon of n sides is given by the formula . If a polygon has twice as many diagonals as sides, how many sides does it have?(A) 3(B) 5(C) 6(D) 7(E) 8 相关知识点: 试题来源: 解析 D 根据公式,n边形的对角线数目为 \(\frac{n(n-3)}{2}\)...
The segments that connect two adjacent vertices of a polygon are known as sides, or edges. As a consequence of these properties, a 3-sided polygon (triangle) does not have diagonals, since all its vertices are adjacent to each other. Figure 2: A triangle does not have diagonals. In the...
Formula 5:Areaof regular polygon = (number of sides × length of one side × apothem)/2, where, the length of apothem is given as thel2tan(180n)l2tan(180n)and where l is the side length and n is the number of sides of the regular polygon. Formula 6: In terms of theperime...
FAQs on Sum of Angles in a Polygon What is the sum of all interior angles of a regular polygon? The sum of all interior angles of a regular polygon is calculated by the formula S=(n-2)×180°, where 'n' is the number of sides of a polygon. For example, to find the sum of in...
Assuming the centre of the polygon to be at (0.0), every vertex of the polygon represents the nth root of unity which is given by 1,α,α2,α3...,αn−1 Every nth root of unity represents a vertex of polygon having n sides taken anticlockwise. Now you decide how ...
Then multiply this number by 5/2 - 5 for the number of sides and 2 for the bottom of the equation. How do you find the area of a regular polygon using trigonometry? All regular polygons can be subdivided into isosceles triangles with a shared center point. Trigonometry can be used to ...
In order to find the measure of a single interior angle of a regular polygon (a polygon with sides of equal length and angles of equal measure) with n sides, we calculate the sum interior anglesor (n−2)⋅180(n−2)⋅180 and then divide that sum by the number of sides or nn...
For a given octagon find the sum of its exterior angles Answer : We are required to find the sum of an exterior angle of the octagon and as we know an octagon is a type of polygon that has 8 sides so from here we can say that our n=8 And as we derived above that the sum of...
Can rectangles with the same perimeters have different sides and areas? How can you find the length of a rectangle with the given width and perimeter? Perimeter of Rectangle = 2 (Length + Width). Rearranging the terms in this formula, we get, Length =Perimeter2– Width. So, to find the...
The equation of this reflection is −y=x. In algebra, when functions are written, the left-hand side (LHS) is always positive. The negative sign is moved to the right-hand side (RHS) by multiplying both sides by −1. The result is y=−x. This is really cool because ...