Circle equation
To calculate the equation, you need to know the definition of a circle. So, a circle – is a set of points in space equidistant from a single point called the center. A segment connecting two points on the circle and passing through the center is called the diameter. A segment connecting two points on the circle – is a chord. A segment connecting the center and any point on the circle – is the radius. The radius is half the diameter.
When calculating the equation of a circle, we obtain the following data:
• coordinates of the center point;
• length of the radius.
Conversely, knowing the length of the radius and the coordinates of the center point, you can determine the coordinates of any point and draw the circle.
Why it is necessary to calculate the circle equation? Knowing the length of the radius, calculated based on the equation data, you can determine the length of any circle and the area of the circle using the following formulas:
• l=2πr, where l – circumference, π=3,14
• S=πr2
Remember, a circle – is a set of points on the coordinate plane located inside the circle. An optimal way to calculate the circle equation – is to use the online calculator. This will speed up the process and allow you to quickly solve tasks using the appropriate formulas.