AIf you draw a clear diagram like the one below, it is easy to see that there are A49 points.∴xLet the number of intersections be x. We know that z≤(8/4)-70, as every 4 points forms a quadrilateral with intersecting diagonals. However, four diagonals intersect in the center, so...
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Anoctagonis any eight-sided polygon, and the sum of its angles is 1080°, as we saw above. In a regular octagon, each angle = 1080°/8 = 135° That angle is the supplement of a 45° angle. The regular octagon is the typicalstop sign shapein many parts of the world. How many d...
The four corners of a square PQRS have been cut off to form a regular octagon, as shown in the diagram. If each side of the square is 1 \ cm long, which of the following equations be solved to find the length of each side of the octagon...
Submit Find the number of diagonals in an n-sided polygon. An2 Bn(n−3)2 Cn! D2nSubmit Find the number of diagonals of a : (i) pentagon (ii) octagon. View Solution Find the circular mesure of an internal angle of a regular: (i) pentagon (ii) hexagon (iii) polygo of 40 ...
View Solution Find the number of diagonals that can be drawn the joining angular points of a Heptagon. View Solution Find the number of diagonals that can be drawn the joining angular points of a Octagon. View Solution Exams IIT JEE
Octagon A polygon has d diagonals. If the polygon had one more side, it would d + 10 diagonals. How many sides does the polygon have? Find the number of diagonals of the polygon. (A line segment connecting any two nonadjacent vertices is called a diagonal of the polygon.) Pentagon...
1. Find the measure of each interior angle of a regular octagon. 2. Find the sum of the interior angle measures of a convex pentagon. Find the measures of an interior angle and an exterior angle of a pentagon. If the measure of each interi...
If a polygon has 53 sides, what will the total number of degrees (i,e. the total number of interior angles) in this polygon? If all of the diagonals are drawn from a vertex of an octagon, how many triangles are formed? a) 5 b...
All regular octagons are similar. a) True, False b) False, True c) True, True d) False, False e) None of the above Determine if the following statement is true or false: The diagonals of a rectangle bisect the vertex angles. If ...