Given a circle with center at (-2, -2) and radius of 9, explain why the equation for this circle is (x+2)22 + (y+2)22 = 81 instead of (x-2)22 + (y-2)22 = 9.

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

A: Given  3x2+3y+6x-9y=2

Q: What is the center of the circle whose general form is given by: 2x2 + 2y? – 12x + 20y + 4 = 0 O…

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Q: Find the center and radius of the circle whose general equation is x? – 2x + y² + 2y = 2.

A: Given general equation of the circle is x2-2x+y2+2y=2. The equation of a circle in standard form is…

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

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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: What is the center of the circle given by the equation: 2+ (y - 5) = 16 %3D O (0, 5) O (0,-5) O (4,…

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Q: Write the equation of the circle graphed below: (0,6) [(0,3) r + (y+3) 3 r + (y+ 3)² = 9 %3D + (y-3)…

A: ACCORDING TO the figure, we have

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

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Q: Find the standard form for the equation of a circle (x-h)2+(y-k)2=r2 With a diameter that has…

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

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Q: The center of a circle has the coordinates (2-V2,3-V2). Show how there are no two points on the…

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Q: A circle has an equation of y2 + 10y + (x − 2)2 = −9. Determine its general form, center and radius.

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Q: Find the equation of a circle whose center is at (5, -1) and radius 3.

A: Equation of a circle is given by : ( x - h )2 + ( y - k )2 = r2  Where (h,k) is the centre of the…

Q: Determine the Equation of a circle if the center is at (5, - 4) and radius Is V3.

A: Formula -Equation of circle centred at (h, k) and radius r is (x-h)2+(y-k)2=r2

Q: Write the equation of the circle with a center (2, -4) and a radius of 4. (+2)+(y-4) = 16 (* + 2)* +…

A: The equation of circle with  center (a,b) and radius r is given by (x-a)^2 + (y-b)^2=r^2

Q: The equation with the circle for 1-3 is: (x-2)^2 + (y+3)^2 =9

A: The equation of circle x-22+y+32=9

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

A: Find the equation of circle with center (-6,0) and radius r=7

Q: What is the length of a radius of the circle represented by the equation x2 + y2 - 4x - 4y + 4 0?

A: We have to find the length of the radius of the circle represented by the equation: x2+y2-4x-4y+4=0…

Q: Calculate the equation of the circle which is centered at the point of intersection of the lines…

A: We have to find the equation of circle whose center is the point of intersection of lines x+3y+3=0…

Q: Find the center and radius of a circle x+y2+2x+10y-4-0

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

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Q: Find the radius of this circle: x -8x+y² -4y-16=0

A: soluti0n follows as

Q: what is the radius and center of the circle given by the equation (x-3)2 + (y+5)2 =100?

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Q: The radius of a circle defined by the equation x2 – 6x + y2 – 4 y – 12 = 0 is: 3.46 5.0 6.0 7.0

A: Convert to standard form(x-a)^2+(y-b)^2=r^2

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: Find the center and the length of a radius of the circle x2 + 8x + y2 + 4y - 5 = 0

A: Given the equation x2 + 8x + y2 + 4y - 5 = 0. We need to find the center and the length of a radius…

Q: Write the standard equation for the circle whose center is at (8,9) and whose radius is 4.

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Q: What are the coordinates of the center and length of the radius of the circle whose equation is x² +…

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Q: Draw a circle with an equation of x2+4x+y2−4y=1.

A: Given,

Q: What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y + 18 = 0?…

A: Find your answer below

Q: A circle has the equation x 2 + y 2 – 6x + 12y + 9 = 0. What is the distance from the center of the…

A: The general equation of a circle with center (a, b) and radius r is, x-a2+y-b2=r2. The distance of a…

Q: What is the standard form of the equation of the circle to the​ right?

A: Standard form of a circle is (x-h) 2+(y-h) 2=r 2, where (h,k) is the x and y coordinates of the…

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

A: On simplification, we get

Q: What is the center and radius of the circle with the equation (x-3)^2+(y+4)^2=16

A: Given: The equation of the circle, x-32+y+42 = 16. To find: The center and radius of the circle.

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

A:

Q: What is the equation of a circle with center (-4, 2) and diameter 6? A (x + 4)° + (y – 2)° = 6 (x +…

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Q: find the standard form of the equation of the circle with the center (-1,5) and tangernt to the line…

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Q: Find the equation of the circle given by 3x² + 3y² + 6x - 9y =2

A: Divide the equation 3x2+3y2+6x-9y-2=0 by 3 on both the sides by 3 to simplify the equation and get…

Q: Find the equation of the circle that has (-1,6) and (5, 2) as endpoints of a diameter.

A: Given end points coordinates are -1,6 and 5,2

Q: Find the standard form for the equation of a circle (* – k)° + (y – k)² = r² with a diameter that…

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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: 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: What are the center and radius of the circle, (x-7)^2 + (y+6)^2 = 4?

A: The standard form of equation of circle is (x-a)2+(y-b)2=r2 where (a ,b) are the coordinates of the…

Q: Recall that the standard form of the equation of a circle is (x - h)2 + (y - k)2 = r2. Thus, x2 + (y…

A: We know that standard equation of circle with center (h,k) and radius r is

Q: Find the center and radius of the circle:  (x-3)2+y2 =25

A:

Q: What is the equation of a circle with center (-4, 2) and diameter 6?

A: Given: The center of circle is (-4, 2) and diameter is 6.

Q: Write the equation of the circle with the following center and radius: Center: (-4, 0), Radius: 47 O…

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Q: What is the center of the circle defined by the equation z² + (y- 4)2 = 49? O ( 0,4) O (1, 4) O…

A: For a circle defined by the equation x-a2+y-b2=r2 . . . . . .(1) we get the center of the circle as…