exterior angle= (360°)n. ~~~(2.1) ~ Method ~1 Extend the common edge PO to point T as shown below. The angles labelled x°, y° and z° are exterior angles of the regular decagon, regular heptagon and regular 15-gon respectively. Hence, using the result (2.1), x = (360)(10)...
What is the size of an exterior angle of a regular decagon?Circle your answer.$$ 3 6 ^ { \circ } $$$ 1 8 ^ { \circ } $$ $$ 3 6 ^ { \circ } $$ $$ 1 4 4 ^ { \circ } $$ $$ 1 6 2 ^ { \circ } $$ 相关知识点: 试题来源: 解析 36° 反馈 收藏 ...
Regular enneagon or 9-gon 9 sides 9 interior angles of 140° 9 exterior angles of 40° Regular decagon or 10-gon 10 sides 10 interior angles of 144° 10 exterior angles of 36° Regular hectogon or 100-gon 100 sides 100 interior angles of 176.4° 100 exterior angles of 3.6°Get...
Each angle of the regular hexagon measures 120°. The sum of all the interior angles is 120 × 6 = 720°. When it comes to the exterior angles, we know that the sum of exterior angles of any polygon is always 360°. There are 6 exterior angles in a hexagon. So, each of the ...
Exterior Angles of a Regular Polygon:In mathematics, the exterior angles of a regular polygon, or a polygon with sides of equal length and angles of equal measure, is the angle formed at a vertex outside the polygon by one side of the vertex and an extension of ...
We know that the angle of an n sided regular Polygon is equal to ( 2 n − 4)/n right angles. Let θ be the angle of a regular decagon. Then, θ = ( 2 × 10 − 4)/10 = 8/5 right angles ∴θ = ( 8/5 × 90 )^@ = 144^@ [∴ 1 right angle =
α = (n - 2) ×π / n, where α is an interior angle; β = 2 ×π / n, where β is an exterior angle. If you're particularly interested in angles, you may want to take a look at our polygon angle calculator. 4. Incircle radius (apothem) ri = a / (2 × tan(π/n))...
The following table gives parameters for the first few regular polygons of unit edge length , where is the interior (vertex) angle, is the exterior angle, is the inradius, is the circumradius, and is the area (Williams 1979, p. 33). polygon equilateral triangle square 1 pentagon ...
What is the length of one side regular decagon whose area is 62 cm square and has an apothem 4.1 cm? What is the measure of an angle in a regular hexagon? How many degrees are in each angle of a regular hexagon and a regular octagon? A regula...
Prove that the interior angle of a regular pentagon is three times the exterior angle of a regular decagon. View Solution Each interior angle of a regular plygon is 144∘ . Find the interior angle of a regular polygon which has double the number of sides as the first polygon. View Solut...