What is a Diagonal? Video Lecture | Advance Learner Course: Mathematics (Maths) Class 7

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FAQs on What is a Diagonal? Video Lecture - Advance Learner Course: Mathematics (Maths) Class 7

1. What is a diagonal?
A diagonal is a line segment that connects two nonadjacent vertices of a polygon or a quadrilateral. It is an internal line that divides the shape into two triangles or two smaller polygons.
2. How are diagonals used in geometry?
Diagonals are used in geometry to determine properties of different shapes. They can help calculate the area of a polygon by dividing it into triangles and finding their areas separately. Diagonals can also be used to find the perimeter of a polygon by summing the lengths of the diagonals and the sides of the shape.
3. What is the formula to calculate the number of diagonals in a polygon?
The formula to calculate the number of diagonals in a polygon is (n * (n - 3))/2, where n represents the number of sides or vertices of the polygon. This formula works for any convex polygon.
4. How many diagonals are there in a hexagon?
A hexagon has six sides and six vertices. Using the formula mentioned earlier, we can calculate the number of diagonals as (6 * (6 - 3))/2 = 9. Therefore, there are nine diagonals in a hexagon.
5. Can diagonals exist in non-polygon shapes?
No, diagonals do not exist in non-polygon shapes. Diagonals are specific to polygons, which are closed shapes with straight sides. Non-polygon shapes like circles or ellipses do not have diagonals as they do not have defined vertices and sides.
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