Coordinate Geometry: Section and Distance Formulas In coordinate geometry, we represent geometric figures by using coordinates, which are pairs of numbers. T...
In coordinate geometry, we represent geometric figures by using coordinates, which are pairs of numbers. These coordinates allow us to locate and compare figures accurately.
Section formula:
The section formula gives the area of a geometric figure based on its length and width. The formula is:
Area = Length x Width
For example, the area of a rectangle with a length of 5 cm and a width of 3 cm is 15 cm².
Distance formula:
The distance formula gives the length of a path or the distance between two points in a coordinate plane. The formula is:
Distance = Absolute Value of the Difference Between the Coordinates
For example, the distance between the points with coordinates (2, 4) and (5, 7) is 3 units.
These formulas help us find the areas and lengths of various geometric figures, including squares, triangles, circles, and more. By using these formulas, we can solve problems involving geometric shapes and analyze spatial relationships between them