Formula for Distance Learn about distance formula here and understand the concept better with solved examples provided. Students can also use the online distance formula calculator and distance formula worksheet provided in the page. Let's understand what is the distance formula? The length of a line segment AB, which joins A (x1, y1) and B (x2, y2) is given by,
Distance Formula Proof Let A (x1, y1) and B (x2, y2) be two points in the plane. Know More About Volume of a Sphere Formula
Tutorvista.com
Page No. :- 1/6
Let d = distance between the points A and B. Draw AL and BM perpendicular to x-axis (parallel to y-axis). Draw AC perpendicular to BM to cut BM at C. In the figure, OL = x1, OM = x2 [AC = LM = OM - OL = x2 - x1] MB = y2, MC = LA = y1 [CB = MB - MC = y2 - y1] From the right-angled DACB, Note : i) If the points A and B lie on the x-axis, then the ordinates of A and B are zeros. i.e., A (x1, 0), B (x2,0)
ii) If the points A and B lie on the y-axis, then the abscissae of A and B are zeros. i.e., A (0,y1) and B (0,y2)
iii) Distance of any point A (x, y) from the origin
Learn More Formula for Volume of a Sphere
Tutorvista.com
Page No. :- 2/6
Distance Formula Examples Below are some examples based on distance formula Example 1: Find the distance between the following pair of points: A (1,2) and B (4,5). Solution: Using the distance formula, we have Example 2: Find the distance between places when the two coordinates (2, 4) and (4, 6)are given, using the distance formula.? Solution: (x1, y1)= (2, 4) (x2, y2) = (4, 6) Distance= Here (x1, y1) and (x2, y2) are two places. We need to find the distance the two places Distance= Distance= Distance= Distance= 2.82 units Example 3: Find the distance between places when the two coordinates (10, 15) and (15, 20)are given, using the distance formula.? Solution : (x1, y1)= (10, 15), (x2, y2) = (15, 20)
Tutorvista.com
Page No. :- 3/6
5 Sided Polygon Pentagon is defined as a polygon which has 5 sides. Pentagon’s shape is a closed plane and also bounded by straight sides. There are 5 equal straight sides and 5 equal angles present in the pentagon. Length and radius of the pentagon are the same. Pentagon has five vertices and five edges. Internal Angle of a Pentagon Internal angle of a Pentagon is 108 degree. We can evaluate the internal angle of theregular polygon using the formula, Internal Angle = . So, the internal angle of the pentagon is 108 degree. Sum of the internal angle of pentagon = 540 degree. External Angle of a Pentagon The external angle of a Pentagon is 72 degree.
Tutorvista.com
Page No. :- 4/6
We can find the exterior angle of the regular polygon using the formula, Exterior Angle = 180 degree - interior angle. Perimeter of a Pentagon Perimeter of the pentagon = 5 a This is because the number of sides of pentagon is 5 a is the side length of the pentagon Area of a PentagonBack to Top Area of the pentagon = where, n = number of sides a = length of any side = 3.14 Or Area of the regular polygon = where, P = perimeter of regular polygon a = apothem of regular polygon. Read More About How to Find the Volume of a Sphere
Tutorvista.com
Page No. :- 5/6
Thank You
TutorVista.com