What is the equation of the circle that passes through?

We will learn how to form the equation of a circle passes through the origin. The equation of a circle with centre at (h, k) and radius equal to a, is (x – h)2 + (y – k)2 = a2.

What passes through the center of a circle?

A line segment that crosses the circle by passing through its center is called a diameter. The diameter is twice the length of the radius. In the circle above, AC is a diameter of the circle. A diameter is a chord that passes through the center of the circle.

How do you find the equation of a line that passes through the center of a circle?

Equation of circle: (x – h)^2 + (y – k)^2 = r^2 where (h, k) is the center and r is the radius.

What is the minimum radius of a circle passing through (2/0) and (0/4)?

You can form many equations of a circle passing through (2,0) and (0,4), with different radii lengths. But to have a minimum radius, the distance between those two points must be equal to diameter or the largest chord of the circle. So the minimum radius of a circle passing through (2,0) and (0,4) will be, half the distance between these points

What is the equation of the Circle X(X-4 + y^2)?

The equation of the circle is x (x-4) + y^2 = x^2 + y^2 – 4x = 0. ==> (x – 2)^2 + y^2 = 4. Center (2, 0), radius = 2. How did this girl break the private jet industry with just $250?

How do you write the equation of the circle?

We can write the equation of the circle in the form: This equation is satisfied by the (x,y) pairs (4,3), ( −2, − 5) and (5,2) Subtracting the first equation from the second and third to eliminate c, we get: Subtracting 8 times the second of these equations from the first, we get: So the equation of our circle can be written:

How do you find the radius of a circle?

Once the center is known, the radius is the distance between the center and any one of the given points. Finding the point of intersection of lines (1) and (2) is solving the system y = x −2. The radius of the circle is the distance between the center (1, − 1) and any of the three given points.