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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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Nov 21, 2024 Last updated |
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