Learn the general equation of a circle when the center is at origin and when it is not in origin. Circle equation can be derived using Pythagoras theorem as well. Solve questions at BYJU’S.

The equation of a circle, with a centre with Cartesian coordinates (a, b) is in the form: In this equation, x and y are the Cartesian coordinates of points on the (boundary of the) circle. a and b are the Cartesian coordinates of the centre of the circle. r is the radius of the circle.

Free Circle equation calculator - Calculate circle's equation using center, radius and diameter step-by-step

Jun 21, 2024 · Equation for a circle in standard form is written as (x – x1 )2 + (y – y1 )2 = r2. Here, (x1, y1) is the centre of the circle. In this article, we will learn about equation of circle, various forms of equation of circle, how to find equation of circle, and others in detail. The image below shows a circle with the centre at the origin.

This calculator can find the center and radius of a circle given its equation in standard or general form. Also, it can find equation of a circle given its center and radius. The calculator will generate a step by step explanations and circle graph.

Jun 27, 2024 · This standard equation of a circle calculator will help you determine a circle's radius and center coordinates in a blink of an eye. If you are curious about how to find the equation of a circle, scroll down, and you'll find an explanation of the formula.

Write the equation for the circle x 2 + y 2 = 16, if its center is translated by (x, y)→(x + 6, y - 3). ANSWER: The center of the given circle is at the origin. The translated center will be shifted 6 units to the right and 3 units down, placing it at (6,-3).

We can find the equation of any circle, given the coordinates of the center and the radius of the circle by applying the equation of circle formula. The equation of circle formula is given as, \((x - x_1)^2 + (y - y_1)^2 = r^2\).

Jul 31, 2023 · The equation for a circle is typically given as: \[ (x-h)^{2}+(y-k)^{2}=r^{2} \] In this equation, the point \((h, k)\) represents the center of the circle and \(r\) represents the radius of the circle.

To find the equation of a circle when you know the radius and centre, use the formula \({(x - a)^2} + {(y - b)^2} = {r^2}\), where \((a,b)\) represents the centre of the circle, and...