How do you find standard form from center and radius?

The technique of completing the square is used to turn a quadratic into the sum of a squared binomial and a number: (x – a)2 + b. The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being “r”.

What is the standard form of the equation of a circle whose center is at the origin?

The equation of a circle written in the form (x−h)2+(y−k)2=r2 where (h,k) is the center and r is the radius. The circle centered at the origin with radius 1; its equation is x2+y2=1.

What is the center radius form of a circle?

The center-radius form of the equation of a circle is: (x−h)2+(y−k)2=r2.

What is the standard form of a circle with center the origin and radius 9?

(x – h)² + (y – k)² = r² is the standard equation for a circle whose center is at the point (h, k) and whose radius is r. x² + y² = 81 is the equation of a circle in standard form whose center is at the origin and whose radius is 9.

What is the standard form equation of a circle?

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

How do you write the standard form of a circle?

The standard form of a circle’s equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.

What is the standard and general form of a circle?

We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius.

What is the standard form of the circle equation?

Standard form of circle equation is (x – a) 2 + (y – b) 2 = r 2 Substituting the values of centre and radius, (x – 2) 2 + (y – 3) 2 = 1 2 x 2 – 4x + 4 + y 2 – 6y + 9 = 1

What is the formula to find the radius of a circle?

Centre = (a, b) = (2, 3) Radius = r = 1. Standard form of circle equation is (x – a) 2 + (y – b) 2 = r 2. Substituting the values of centre and radius, (x – 2) 2 + (y – 3) 2 = 1 2. x 2 – 4x + 4 + y 2 – 6y + 9 = 1. x 2 + y 2 – 4x – 6y + 10 – 1 = 0. x 2 + y 2 – 4x – 6y + 9 = 0.

What are the two forms of representation of a circle?

There are basically two forms of representation: Question 1: If the centre point and radius of a circle is given as (4, 5) and 7 respectively. Represent this as a circle equation. Question 2: Find the centre and radius of the circle whose equation is given by x2 + y2 – 10x + 14y + 38 = 0.

What is circcircle equation formula?

Circle equation formula refers to the equation of a circle which represents the centre-radius form of the circle. To recall, a circle is referred to a round shape boundary where all the points on the boundary are equidistant from the centre. An equation is generally required to represent the circle.