determine the general equation of the circle whose center is (1,-2) and whose graph contains the point (4,-2) show the graph

The graph above shows the circle with the equation \((x - 1)^2 + (y + 2)^2 = 9\). The red point represents the center \((1, -2)\), and the blue point is \((4, -2)\), which lies on the circle. The radius is 3 units, and the circle is centered at \((1, -2)\).

Would you like any further details or explanations?

Here are 5 related questions:
1. How would the equation change if the radius were doubled?
2. What is the equation of a circle with center \((-3, 5)\) and radius 4?
3. Can you find the length of the diameter for this circle?
4. How do you find the equation of a tangent line to this circle at a given point?
5. What would the equation be if the circle were centered at the origin?

**Tip:** The radius of a circle is always the distance from its center to any point on the circumference.

Determine the general equation of the circle whose center is (1,-2) and whose graph contains the point (4,-2). Show the graph.

Find the general equation of a circle with center (1,-2) and radius 3. This detailed explanation covers how to apply the distance formula to calculate the radius and the standard equation of a circle. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation