Determine the equation of the circle in standard form: x2 + y2 + 6x - 12y + 20 = 0 A. (x-3)2 + (y+6)² = 25 B. (x+3)2 + (y-6)2 = 25 %3D c. (x-3)2 + (y+6)² = 45 D. (x+3)2 + (y-6)² = 5 %3D

Q: Find the center C and radius r of the circle defined by the equation: x+y+12x-2y-3%3D0.

A: Compare the given equation of circle to the standard form of equation and than determine centre and…

Q: Write the standard form of the equation of the circle given x2 - 6x + y2 + 8y + 12 = 36

A: To rewrite the given equation to the standard equation of the circle (x-a)^2+(y-b)^2 =r^2, center…

Q: What is the center of the circle described by the equation x² - 6x + y2 + 2y +1 = 0 ? %3|

A: A circle is the locus of points in two-dimensional space which are equidistant from a fixed point.…

Q: Find the equation of a circle whose diameter ends at (-1,3) & (5,-1). O (x-3)* + (y-2)° = 52 O…

A: Equation of a  Circle  :    (x-h)2+(y-k)2=r2 where center is  (h,k)             radius is r   Given…

Q: Graph the lower half of the circle defined by the equation x2 + 2x = 4 + 4y - y2.

A:

Q: Write the equation of the circle in standard form. x2 + y2 + 6x − 4y − 12 = 0

A:

Q: Draw the circle whose equation is given by 3x2 + 3y 2 + 6x − 9y = 2.

A: Given  3x2+3y+6x-9y=2

Q: Reduce to standard form and draw the circle whose equation is 4x2 + 4y2 – 4x – 8y – 31 = 0.

A:

Q: Draw a circle with an equation of x2+y2+4y=5

A: First we add 4 to both sides and complete the square of y term.

Q: Find an equation of the circle whose diameter has endpoints (-4, 3) and (6, – 1). O=0

A: Recall: Equation of the circle : x-h2 +y-k2=r2 ; (h,k) is the center and 'r' is the radius.

Q: Which point is the center of the circle 4x² + 4y2 = 4y – 8x +5 ?

A:

Q: Find the standard form of the equation of the circle having the following properties: Center at the…

A:

Q: Derive the standard equation of a circle if its general equation is x² + y² - 10x - 6y + 14 = 0.…

A:

Q: Find the equation of a circle whose c x2 +

A: We have to find the equation of circle having a center (4,1)  and tangent to the circle…

Q: Determine whether the point (1, -2) lie inside, out side, or on the circle x* +y -8x – 4y= 5.

A:

Q: Find an equation of the circle whose diameter has endpoints (1, -5) and (4, 1). 0² 9 0=0 X ? Ś

A:

Q: Change this equation in to circle graphing form, showing work: x² – 10x + y? + 4y – 11 = 41

A:

Q: Write the equation of the circle in standard form: x2 – 6x + y² + 10y = –8.

A:

Q: Find the area of the circle whose equation is x^(2) + y^(2) + (-4x) + 6y -3 = 0

A: We have to find the area of the circle.

Q: Find the equation of the circle that has a diameter whose edpoints are the points A(-2,-5) and…

A: Find the equation of the circle that has a diameter whose endpoints are the points A(-2,-5) and…

Q: What is the center and radius for the circle with equation 2x2 -8x+2y2 + 12y +14 0?

A:

Q: Write the equation of the circle in standard form. x2 + y2 − 8x + 6y + 9 = 0

A: The given equation is,

Q: Find the center and radius of the circle: x2 + y2 + 4x - 2y - 15 = 0

A: Given,x2+y2+4x-2y-15=0

Q: Choose the equation of a circle with radius 6 and center13, - 52.(a) 1x - 32 2 + 1y + 52 2 = 6(b) 1x…

A: Equation of a circle whose center (h, k) and radius r, x-h2+y-k2=r2       ...(1)

Q: D. Reduce to standard form and draw the circle whose equation is 4x^2 + 4y^2– 4x – 8y – 31 = 0.

A: topic - equation of circle in standard form graph of circle can be drawn by taking (0.5 ,1 ) as…

Q: Determine the equation of the circle in standard form: x2 + y² + 6x - 12y + 20 = 0 A. (x-3)2 +…

A: The general form of equation of circle is Ax2+By2+Cx+Dy+E=0. The standard form of equation of circle…

Q: find the center and raidus of the circle with equation x2 + y2 - 8x + 10y = -25

A:

Q: x²+y°+6y-7=0

A:

Q: Find the center and radius of the circle with equation x2 + y2 -8x + 6y = 11

A: We write the circle in standard form first  We write the x terms together and the y terms together.…

Q: Find the equation of the circle with center (- 6, 0) and radius r = 27.

A: The center of a circle is (- 6, 0) and radius r = 27.

Q: Find the center and radius of the circle. x2 + y2 - 4x- 16y -6=0

A: On simplification, we get

Q: Find the center and radius of the circle x2 + y2 + 4x - 6y - 3 = 0.

A: Solution:-  The equation of the circle is  x2+y2+4x-6y-3=0

Q: Find the center and radius of the circle whose equation is x^2+Y^2+4x-6y+2=0

A:

Q: Which is the center and radius of the circle given by the equation, x² + y² - 6x 10y + 11 = 0?

A: The answer as follows:

Q: What is the y-coordinate of the center of the circle for the following circle equation? x² + y² -…

A: Answer :-  The y-coordinate of the center of the circle  = 5 Final answer written here, because no…

Q: Use the graph below to determine the equation of the circle in (a) center-radius form and (b)…

A:

Q: Which point is on the circle with equation (x-4)^2 + (y+3)^2 = 9 ?

A: The equation of circle is given as (x-4)2 + (y+3)2 =9, it can be written as (x-4)2 + (y+3)2…

Q: The equation x +y- 6x + 2y +5 =0 represents the circle with which center?

A: Given,  The equation of the circle   x2+y2-6x+2y+5=0  We have to find the center of the circle which…

Q: Find the centre of the circle x2+y2+4x-8y=0

A:

Q: find the center and the length of a radius of each circle. x2 + 10x + y2 + 2y - 38 = 0

A: Given the equation of a circle: x2+10x+y2+2y-38=0

Q: Determine the standard equation of the circle given the general equation.  4x² + 4y² + 32x - 56y +…

A: Given equation is: 4x2+4y2+32x-56y+251=0Divide by 4we getx2+y2+8x-14y=-2514Now, add 16 on bot…

Q: Find the center of the circle with equation (x+ 3)- + (y- 9)2 = 100. %3D

A:

Q: Find the abscissa of the center of circle with equation 3x^2 + 3y^3 - 21x + 24y = 16

A:

Q: Find the Center and vadius of the fellor Circle equation (X-2) +(y-3)=16

A: Given the circle equation is x-22+y-32=16

Q: find the center and the length of a radius of each circle. x2 + y2 + 6x - 8y = 0

A: The general standard equation of a circle centered at (a,b) of radius r is given by the equation;…

Q: Give the center and radius of the circle whose equation is x2 +y2 - 18=0

A: Let C(h, k) be the centre of the circle and P(x, y) be any point on the circle. Therefore, the…

Q: Find the standard form of the equation of the circle having the following properties: Center at the…

A:

Q: find the center and the length of a radius of each circle. x2 + y2 - 2x - 6y - 6 = 0

A:

Q: Give the center and radius of the circle whose equation is x2+y2-18=0

A: The given problem can be solved as follows:

Q: Determine the centre and radius of the circle with equation r2 + 2x +y – 4y = 4.

A: The given equation of the circle is x2+2x+y2-4y=4 To find: 1) Center of the circle               2)…