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Why the size of the angle at the centre of a regular polygon cannot be 25 degrees?
Wiki User
∙ 11y ago
Because 25 does not divide 360.
Wiki User
∙ 11y ago
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The angle at the centre of a regular polygon is 72 degrees how many sides has the polygon?
360 ÷ 72 = 5, so that the regular polygon is a pentagon (a five-sided polygon).
How do you get the of a center of a regular polygon?
If it is a polygon with an even number (>2) of vertices, join any two pairs of opposite vertices. These lines will meet in the centre. If it is a polygon with an odd number (>1) of vertices, join any two vertices to the midpoints of the opposite sides. These lines will meet in the centre.
What polygon is a regular star?
A 'concave decagon' is a ten-sided shape with every other corner pushed in towards the centre. It forms a regular five-pointed star.
What is a oblique pyramid?
An oblique pyramid is either one whose base is not a regular polygon or one whose apex is not vertically above the centre of its base.
If given any regular polygon how can you find the center of the circle that circumscribes the polygon?
Draw the perpendicular bisectors of any two sides which are not directly opposite one another. These will meet at the centre of the circle.If it has an even number of vertices, simply join two pair of opposite vertices. They will intersect at the centre of the circle.
The angle at the centre of a regular polygon is 72 degrees how many sides has the polygon?
360 ÷ 72 = 5, so that the regular polygon is a pentagon (a five-sided polygon).
Do apothems of a regular polygon is the distance from the center of the polygon to one of the vertices?
No, it is the distance from the center of the polygon to the centre of one of its sides.
A regular pyramid has a regular polygon base and a over the center of the base?
A regular pyramid has an equilateral triangle base, not just a regular polygon. It has an apex above the centre of the base.
What is an interior angle of 20 sided polygon?
Think of the 20 identical triangles that are formed inside the polygon when you draw line segments from the centre of the polygon to each of the polygons corners. The angles of those triangles at the centre of the polygon add to 360 degrees, and there are 20 of them. Therefore, each of the angles of the triangles at the centre is 360 / 20 = 18 degrees. The angles within each triangle add to 180 degrees. Therefore the other two angles within each triangle, away from the centre of the polygon, add to 180 - 18 = 162 degrees. The two angles are equal. Therefore each angle is 162 / 2 = 81 degrees. Each interior angle of the 20-sided polygon consists of two of these angles. Therefore, the interior angle is 2 x 81 or 162 degrees.
How do you get the of a center of a regular polygon?
If it is a polygon with an even number (>2) of vertices, join any two pairs of opposite vertices. These lines will meet in the centre. If it is a polygon with an odd number (>1) of vertices, join any two vertices to the midpoints of the opposite sides. These lines will meet in the centre.
Why is radius greater than apothem?
In a regular polygon, the apothem is a line from the centre to the mid-point of one of the flat sides. The radius is a line from the centre to a corner, which is longer.
What is the size angles at the centre of a regular polygon?
for any regular polygon you can find it with the following formula, substituting 'n' for the number of sides in the shape (ex. square; 4, hexagon; 8) 180(n - 2) / n example: pentagon: 180(5-2) / 5 180(3) / 5 540 / 5 108 degrees per side
What is the interior angle of a twenty sided polygon?
A twenty-sided polygon is called an "icosagon" If it is a regular icosagon - all its sides and angles are equal - then it's interior angles are all 162 degrees. You can verify this by drawing a line to the centre from each angle.. There will be 20 small angles arranged in a circle around the centre. These must total 360 degrees. As 360 / 20 = 18, this leaves the other angles of each triangle to add up to 162, because the interior angles of a triangle total 180 degrees.
What polygon is a regular star?
A 'concave decagon' is a ten-sided shape with every other corner pushed in towards the centre. It forms a regular five-pointed star.
What is the interior and exterior angle of 16-gon?
Providing that it is a regular 16-gon:- First draw lines from each corner of the 16-gon to the centre. This forms 16 equal angles at the centre - something like a circular cake which has been divided into 16 equal portions. You find the angle value by dividing the full circle of 360 degrees by 16 = 22.5 degrees Besides 22.5 degrees being "the angle at the centre" of the figure (usually called a "polygon") this value is also the value of the "exterior" angle You find the "interior" angle by subtracting the "angle at the centre" from 180 degrees, because 180 degrees (which is the total of the three angles in each of the 16 triangles). This is 180 degrees minus 22.5 degrees = 157.5 degrees. Each interior angle: 157.5 degrees
What is a oblique pyramid?
An oblique pyramid is either one whose base is not a regular polygon or one whose apex is not vertically above the centre of its base.
If given any regular polygon how can you find the center of the circle that circumscribes the polygon?
Draw the perpendicular bisectors of any two sides which are not directly opposite one another. These will meet at the centre of the circle.If it has an even number of vertices, simply join two pair of opposite vertices. They will intersect at the centre of the circle.
