Polygon
Browse the course units below.
Polygon
Introduction
Regular Polygon
Intro
Game
Play
Test
BLE 9(b)
Polygon
What is a polygon?
A polygon is a closed figure made by joining line segments with at least three vertices.
A point where 2 line segments intersect is called a vertex (corner).
The line segments are called sides of the polygon.
Diagonals are segments that connect one vertex to another through the interior of the polygon.
Triangles and quadrilaterals are examples of polygons.
The word "polygon" comes from Greek, meaning "many angles."
In the figure below, three polygons are shown.
A polygon is a closed figure made by joining line segments with at least three vertices.
A point where 2 line segments intersect is called a vertex (corner).
The line segments are called sides of the polygon.
Diagonals are segments that connect one vertex to another through the interior of the polygon.
Triangles and quadrilaterals are examples of polygons.
The word "polygon" comes from Greek, meaning "many angles."
In the figure below, three polygons are shown.
Regular Polygon
What is a regular polygon?
A polygon whose all sides are equal, all angles are equal, is called regular polygon
In the figure below, three regular polygons are shown.
They are equilateral triangle, square and regular pentagon.
A polygon whose all sides are equal, all angles are equal, is called regular polygon
In the figure below, three regular polygons are shown.
They are equilateral triangle, square and regular pentagon.
Angle of Regular Polygon
Interior angle of a regular polygon is
Interior angle\( = \frac{(n - 2) \times 180^\circ}{n}\)
Interior angle\( = \frac{(n - 2) \times 180^\circ}{n}\)
Sum of interior angle of a regular polygon is
Sum of interior angle\( = (n - 2) \times 180^\circ\)
Sum of interior angle\( = (n - 2) \times 180^\circ\)
Exterior angle of a regular polygon is
Exterior angle\( = \frac{360^\circ}{n}\)
Exterior angle\( = \frac{360^\circ}{n}\)
Sum of extterior angle of a regular polygon is
Sum of extterior angle\( = 360^\circ\)
Sum of extterior angle\( = 360^\circ\)
Each central angle (angle subtended by one side at the center) of regular polygon is
Central angle\( = \frac{360^\circ}{n}\)
Central angle\( = \frac{360^\circ}{n}\)
The total number of diagonals in a regular polygon is
diagonals\( = \frac{n(n-3)}{2}\)
diagonals\( = \frac{n(n-3)}{2}\)
- Write the formulae to find the interior angles of a regular polygon? [1K]
- What is the size of each interior angle of a regular octagon? Find by applying formula. [2U]
- What is the measurement of each interior angle of a regular pentagon? [1K]
- If the sum of interior angles of a polygon is \(720^\circ\), what is the number of sides in it? [2U]
- Find each exterior angle of regular decagon. [2U]
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