# What is the equation for a circle passing through two points?

Table of Contents

## What is the equation for a circle passing through two points?

Equation of a Circle Through Two Points and a Line Passing Through its Center. Consider the general equation a circle is given by. x 2 + y 2 + 2 g x + 2 f y + c = 0. If the given circle is passing through two points, say A ( x 1, y 1) and B ( x 2, y 2), then these points must satisfy the general equation of a circle.

## How do you find the general equation of a circle?

If the given circle is passing through two points, say A ( x 1, y 1) and B ( x 2, y 2), then these points must satisfy the general equation of a circle. Now put these two points in the given equation of a circle, i.e.: Also, the given straight line a x + b y + c 1 = 0 passes through the center ( – g, – f) of the circle.

**Which line is guaranteed to pass through the center of a circle?**

This is a chord of the circle. Using the midpoint formula and the fact that perpendicular lines have slopes that are negative reciprocals of each other, find the equation of the perpendicular bisector of this chord. This new line is guaranteed to pass through the centre of circle.

### How do you find the center and radius of a circle?

Find the center and radius of the circle having the equation: (x)2 + (y)2 = x2 + y2

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### Is it possible to draw a circle through a set of points?

No solution means that points are co-linear, and it is impossible to draw a circle through them.

**What is the area of 22/25/7 using the equation of circle?**

Area of circle = 22*25/7 = 78.57 sq cm. , I think differently. From given data we can find the radius of the circle using distance formula between points (–2,6) and (1,2) as √[ (-2–1)² + (6–2)² ] = 5 unit implies x² +y² -2x-4y-20=0 is equation of circle. 9 lessons from millionaires who are good with money.

## What is the radius of a circle?

The radius is the distance between the center of the circle and any point on the circle. We are given both the center of the circle and a point on the circle. We need to calculate the distance between these two points.