1/5/2024 0 Comments Radius of a circleThe curves may snake up and down the y-axis as the line moves across the x-axis, but the graphed line is still not returning on itself like a snake biting its tail. Introduce a second x-value exponent, and we get more lively curves, but they are, again, not turning back on themselves. We get a parabolic curve, so it heads off past the top of our grid, its two ends never to meet or be seen again. Here the x value alone is squared, which means we will get a curve, but only a curve going up and down, not closing back on itself. This may sound obvious, but consider this equation: How To Graph a Circle EquationĪ circle can be thought of as a graphed line that curves in both its x and y values. The second equation graphs a straight line the fourth equation is the familiar slope-intercept form the last equation graphs a parabola. Only equations 1, 3, 5 and 6 are center-radius forms. Which ones are center-radius, and which are just line or curve equations? Try these seven equations to see if you can recognize the center-radius form. With luck, the squared r value will be a whole number, but you can still find the square root of decimals using a calculator. In the equation, you may not see r 2, but a number, the square root of which is the actual radius. Once you ferret out the circle's center point coordinates, you can then determine the circle's radius, r. The same holds for the k value it must be the y coordinate for the center of your circle. By grouping the h value with the x x - h 2, the form tells you the x coordinate of the circle's center. The center-radius form gives away a lot of information to the trained eye. The value for r, radius, must be given and must be a positive number (which makes common sense you cannot have a negative radius measure).The center point is given as ( h, k ), the x and y coordinates.All terms in the expression must be positive (which squaring the values in parentheses will accomplish).If you are unsure that a suspected formula is the equation needed to graph a circle, you can test it. In the general form, D, E, and F are given values, like integers, that are coefficients of the x and y values.
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