Solving Circle Problems and Distance Formula
This page focuses on the application of the distance formula in solving problems related to circles in a coordinate system. It demonstrates how to calculate the distance between two points, which is crucial for many okrąg w układzie współrzędnych zadania PDF (circle in coordinate system problems).
The distance formula is presented:
Definition: The distance between two points A(x₁, y₁) and B(x₂, y₂) is given by the formula:
|AB| = √((x₂-x₁)² + (y₂-y₁)²)
This formula is then applied to solve the problem from the previous page, calculating the distance between the centers of two circles.
Example: For circles with centers S₁(-1,2) and S₂(0,0), the distance is calculated as:
|S₁S₂| = √((0-(-1))² + (0-2)²) = √(1² + (-2)²) = √5
Highlight: Understanding and applying the distance formula is essential for solving a wide range of problems involving figury w układzie współrzędnych (figures in coordinate system), especially circles.
This page reinforces the importance of connecting different mathematical concepts, such as the równanie okręgu wzory (circle equation formulas) and distance calculations, to solve more complex geometric problems in a coordinate system.