Print How to Find the Equation of a Circle Worksheet 1. Write the Standard Form of the equation for a circle centered at point (-2, -8) and has a radius of 4.

This is called the center-radius form (or standard form) because it gives you both pieces of information at the same time. The h and v represent the center of the circle at point (h, v), and r names the radius. Specifically, h represents the horizontal displacement — how far to the left or to the right the center of the circle falls from the y-axis.The variable v represents the vertical.

A line segment from one point on the circle to another point on the circle that passes through the center is twice the radius in length. This line segment is called the diameter of the circle. A circle can be represented by two different forms of equations, the general form and the center-radius form.

In the standard form of a linear equation, the A should be positive, so if you get it into standard form and the A is negative, multiply both sides of the equation by a negative to make it.

Equation Of A Circle In Standard Form, Formula, Practice. A circle can be defined as the locus of all points that satisfy an equation derived from the Pythagorean Theorem In this general version, the center of the circle.

B. How to Write the Equation into Standard Form When Given an Equation. If there are fractions: Multiply each term in the equation by the LCD. Add or subtract to get “x” and “y” on the same side and the number term on the opposite side. If there are decimals: Multiply each term in the equation by 10, 100, 1000, etc.

Standard form is written in the form of, where is a number bigger than or equal to 1 and less than 10. can be any positive or negative whole number.