How many sides a regular polygon have
WebHow many sides does a regular polygon have if each of its interior angles is 165 ∘? A 24 B 44 C 55 D 33 Medium Solution Verified by Toppr Correct option is A) ⇒ Interior angle of given polygon =165 o ⇒ Exterior angle of polygon =180 o−165 o=15 o ⇒ The sum of exterior angles of any polygon is 360 o ⇒ Number of sides of regular polygon = 15 … We can use that to calculate the area when we only know the Apothem: And there are 2 such triangles per side, or 2n for the whole polygon: Area of Polygon = n × Apothem2 × tan(π/n) When we don't know the Apothem, we can use the same formula but re-worked for Radius or for Side: Area of … Meer weergeven A polygon is a planeshape (two-dimensional) with straight sides. Examples include triangles, quadrilaterals, pentagons, hexagons and so on. Meer weergeven So what can we know about regular polygons? First of all, we can work out angles. All the Exterior Angles of a polygon add up to 360°, so: Each exterior angle must be … Meer weergeven We can learn a lot about regular polygons by breaking them into triangles like this: Notice that: 1. the "base" of the triangle is one side of the polygon. 2. the "height" of the triangle is … Meer weergeven Sounds quite musical if you repeat it a few times, but they are just the names of the "outer" and "inner" circles (and each radius) that can be drawn on a polygon like this: The … Meer weergeven
How many sides a regular polygon have
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Web15 jun. 2024 · The polygon has 13 sides. Example 5.27.4 How many degrees does each angle in an equiangular nonagon have? Solution First we need to find the sum of the interior angles; set n = 9. (9 − 2) × 180 ∘ = 7 × 180 ∘ = 1260 ∘ “Equiangular” tells us every angle is equal. So, each angle is 1260 ∘ 9 = 140 ∘. Example 5.27.5 Web29 okt. 2016 · The formula for finding the measure of an exterior angle of a regular polygon is 360/n, where n is the number of sides of the polygon. So, 24 = 360/n 24(n) = n(360/n) 24n = 360 ... If an exterior angle of a regular polygon measures 24°, how many sides does the polygon have? Geometry. 1 Answer Lil Del Oct 29, 2016
WebHow many sides does a regular polygon have if each of its interior angles is 165 ∘? A 24 B 44 C 55 D 33 Medium Solution Verified by Toppr Correct option is A) ⇒ Interior angle … Web1 dec. 2024 · A pentagon is any polygon that has five sides and five angles. The root of the word pentagon is “penta” which comes from the Greek word for five. “Gon” comes from the Greek word for angle. So, if …
WebThe correct option is (a): 8 Each interior angle of a polygon =135∘ Sum of all the interior sides of a polygon =(n−2)×180∘ = (n−2)×2×90∘ = (2n−4)×90∘ Each side is given by (2n−4)×90∘ n ∴ 2n−4 n ×90∘ =135∘ ⇒ 2n−4 n = 135 90 ⇒ 2n−4 n = 3 2 ⇒ 4n−8= 3n ⇒ 4n−3n= 8 ⇒ n= 8 sides Suggest Corrections 82 Similar questions Q. Tick ( ) the correct … WebWe can have a 360-sided polygon with each side having an arc of 1 degree, but you can go smaller than 1 degree and argue that you can go with 0.000001 degree and have the …
Web14 jun. 2024 · In a regular polygon of n sides, each interior angle measures (n - 2)180/n. Here, each interior angle measures 135°. We set the expression equal to 135°, and solve …
WebWe can have a 360-sided polygon with each side having an arc of 1 degree, but you can go smaller than 1 degree and argue that you can go with 0.000001 degree and have the corresponding number of sides. However, since there are an infinite number of fractions between two numbers, we can go infinitely many times and get n amount of sides based … house for rent tehachapiWeb11 jun. 2016 · 6 sides Recall that the formula for the sum of the interior angles in a regular polygon is: color(blue)( bar(ul(color(white)(a/a)180^@(n-2)color(white)(a/a) ))) … linux mint macbook themeWeb25 feb. 2024 · The formula to find the interior angle of a polygon is 180(n −2) n (n being the number of sides of the polygon). Since we know the interior angle of the polygon which is 120, therefore we can produce … house for rent tampa florida 33610Web28 mrt. 2024 · How Many Sides Does a Regular Polygon Have (With Examples) As we know, a polygon is any shape having three or more sides, a regular polygon can be made of any number of sides. The common regular polygons with their characteristic features are given below: Regular Polygon Formulas Interior Angle linux mint lock screen settingsWebA regular polygon is a polygon that is both equiangular and equilateral. All sides are equal length placed around a common center so that all angles between sides are also equal. … house for rent tigardWebDecagon: 10 Sides. Decagons have 10 sides, and in regular decagons, all of the sides are of even lengths. Although not commonly thought of as a decagon, the perimeter of a five … house for rent teague txWeb5 dec. 2024 · the total exterior +interior sum is 180n. 180n-180 (n-2)=360. In this question, each exterior angle is 36 degrees. the total is 360 degrees. Therefore, the number of sides is 360/36= 10 sides. It is a dodecagon. The Final answer: The polygon has 10 sides. linux mint music player