Diagonals of a Polygon

# Diagonals of a Polygon Video Lecture | Mathematics (Maths) Class 6

## Mathematics (Maths) Class 6

94 videos|347 docs|54 tests

## FAQs on Diagonals of a Polygon Video Lecture - Mathematics (Maths) Class 6

 1. What is the definition of a diagonal in a polygon?
Ans. In a polygon, a diagonal is a line segment that connects two non-adjacent vertices. It is the line that passes through the interior of the polygon and is not a side of the polygon.
 2. How many diagonals does a polygon with n sides have?
Ans. The number of diagonals in a polygon with n sides can be calculated using the formula (n(n-3))/2. So, for example, a hexagon (a polygon with 6 sides) would have (6(6-3))/2 = 9 diagonals.
 3. Can a polygon have diagonals of different lengths?
Ans. Yes, a polygon can have diagonals of different lengths. The length of a diagonal in a polygon depends on the distance between the two non-adjacent vertices it connects. As long as the two vertices are not adjacent, the diagonal can have any length.
 4. How do diagonals affect the interior angles of a polygon?
Ans. Diagonals do not affect the interior angles of a polygon. The interior angles of a polygon are determined by the number of sides it has, not by the presence or absence of diagonals. Diagonals only connect non-adjacent vertices and do not change the angles formed by the sides of the polygon.
 5. Are all diagonals of a polygon equal in length?
Ans. No, not all diagonals of a polygon are equal in length. The length of a diagonal in a polygon depends on the specific vertices it connects. Different diagonals can have different lengths depending on the positions of the vertices. Only regular polygons, where all sides and angles are equal, have diagonals of equal length.

## Mathematics (Maths) Class 6

94 videos|347 docs|54 tests

### Up next

 Explore Courses for Class 6 exam
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;