Examples of how to calculate the length in maths

Answer 1

1. Calculating the length of a line segment on a coordinate plane:
Given two points (x1, y1) and (x2, y2) on the coordinate plane, the length of the line segment connecting these two points can be calculated using the distance formula:
\( \text{Length} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \)

2. Calculating the length of a curve:
To calculate the length of a curve, such as a circle or an ellipse, the arc length formula is used. For example, the arc length of a circle with radius r and central angle θ can be calculated using the formula:
\( \text{Length} = r * \theta \)

3. Calculating the length of a perimeter:
To calculate the perimeter of a polygon, such as a rectangle or a triangle, the lengths of all the sides are added together. For example, the perimeter of a rectangle with sides of length a and b is:
\( \text{Perimeter} = 2a + 2b \)