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How do you write an equation in standard form of a circle with a center and radius?

The standard equation of a circle, with center in (a,b) and radius r, is: (x-a)2 + (y-b)2 = r2


What is the formula for the center of the circle?

The formula for the center of a circle is given by the coordinates ((h, k)) in the standard equation of a circle, which is ((x - h)^2 + (y - k)^2 = r^2). Here, ((h, k)) represents the center of the circle, and (r) is the radius. If the equation is presented in a different form, you can derive the center by rearranging the equation to match the standard form.


How do you Writing the Equation of a Circle in Standard Form?

(x - A)2 + (y - B)2 = R2 The center of the circle is the point (A, B) . The circle's radius is ' R '.


What are the coordinates of the center of the circle described by the equation x2 y 52 16?

The equation provided appears to have a typographical error, as it should likely be in the form of a standard circle equation. If you meant (x^2 + y^2 = 16), the center of the circle is at the coordinates (0, 0). If this is not the correct interpretation, please clarify the equation for an accurate response.


How To find the standard equation for a circle centered at the origin we use the distance formula since the radius measures?

To find the standard equation for a circle centered at the origin, we use the distance formula to define the radius. The equation is derived from the relationship that the distance from any point ((x, y)) on the circle to the center ((0, 0)) is equal to the radius (r). Thus, the standard equation of the circle is given by (x^2 + y^2 = r^2). Here, (r) is the radius of the circle.

Related Questions

How do you write an equation in standard form of a circle with a center and radius?

The standard equation of a circle, with center in (a,b) and radius r, is: (x-a)2 + (y-b)2 = r2


What is the standard form of an equation where the poin 3-6 is on a circle whose orgin is the center?

9


How do you Writing the Equation of a Circle in Standard Form?

(x - A)2 + (y - B)2 = R2 The center of the circle is the point (A, B) . The circle's radius is ' R '.


What is the center of the circle given by the equation (x - 3)2 (y - 9)2 16?

Well, honey, the center of that circle is simply the point (3, 9). You see, the equation you provided is in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle. So, in this case, the center is at (3, 9). That's all there is to it, sugar.


How do you write an equation for a circle with a center?

Equation of any circle, with any radius, and its center at any point: [ x - (x-coordinate of the center) ]2 + [ y - (y-coordinate of the center) ]2 = (radius of the circle)2


What is the standard form of an equation were the poin 3-6 is on a circle whose orgin is the center?

32+62=45 so the standard form is x2+y2=45


What is the equation of the circle with center 2 9 and radius 7?

depends on the equation.


How do you write an equation in standard form of a circle?

(x - h)2 + (y - k)2 = r2 where h is the x coordinate of the center of the circle. where k is the y coordinate of the center of the circle. where x is the x coordinate of point (x,y) on the edge of the circle. where y is the y coordinate of point (x,y) on the edge of the circle. Additional assistance here: http://www.mathwarehouse.com/geometry/circle/equation-of-a-circle.php


If a circle is centered at the origin and the length of its radius is 6 What is the circle's equation?

The general equation of a circle is given by the formula(x - h)2 + (x - k)2 = r2, where (h, k) is the center of the circle, and r its radius.Since the center of the circle is (0, 0), the equation reduces tox2 + y2 = r2So that the equation of our circle is x2 + y2 = 36.


Which number in the standard equation for a circle centered at the origin should one increase to make the circle larger?

You should increase the radius in the standard equation of a circle centered at the origin. The general form is ( x^2 + y^2 = r^2 ), where ( r ) is the radius. By increasing ( r ), you extend the distance from the center to any point on the circle, making it larger.


What is h in the standard form equation of a circle if the center is at h v and the radius is r?

(x - h)2 + (y - v)2 = r2


What is the standard form of the equation of a circle with center (2 3) and radius 4 units?

(x-2)^2 +(y-3)^2 = 16