Find the center and radius of each circle, and sketch its graph. (a) x² + y² = 25 (b) (x - 2)? + (y + 1)² = 9 (c) x² + 6x + y² – 2y + 6 = 0

Q: The center of a circle lies on the line y = 6x + 2 and is tangent to the x-axis at (-2,0). What is…

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Q: Find the center and radius of the circle, and sketch its graph. x2 + y2 = 9

A: Givenx2+y2=9To find Center and radius of above equation

Q: | 1. The circle defined by the equation 3x²+ 3y² + 6x – 9y = 2. Graph: Center of the circle:

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Q: 7. Find the center and radius of the circle described by the equation 2x² +2y² +2x-6y+-=0.

A: 2x2+2y2+2x-6y+92=0Find the center and radius of the circle

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

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Q: Find the center of the circle with the given equation: x2+y2+16x-12y-21=D0. Enter Ansi

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Q: The center of a circle lies on the line y =6x + 2 and is tangent to the x-axis at (-2,0). What is…

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Q: A circle has an equation of x2+y2+6x+6y+8=0. What is the distance between points of intersection of…

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Q: Reduce the equation of the circle x +y° +&r – 9y– 6 = 0 to its standard equation.

A: Solution is written in below steps.

Q: Find the standard form for the equation of a circle (x - h) + (y- with a diameter that has endpoints…

A: NOTE: Refresh your page if you can't see any equations. . endpoints of diameter are

Q: Sketch the graph of the circle or semicircle.

A: Sketch the graph of the circle or semicircle.  y = (4-x2) = y2 = 22 - x2 = x2 + y2 = 22 = (x-0)2 +…

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

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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: 3. Find the center and radius of the circle with the equation x2 + y² – 6x + 10y +9 = 0.

A: Given: The equation of a circle is x2+y2-6x+10y+9=0 . The center and radius of a circle with…

Q: A circle has the equation x2 + 6x + y2 - 8y - 75 = 0. What are the coordinates of the center and…

A: we will change it in standard form and compare.

Q: 3x +3y-18x -30y +54 0 is the equation of a circle with center (h, k) and radiusr for=

A: To find the center and radius for the below equation of the circle. 3x2+3y2−18x−30y+54=0

Q: The equation of the circle is X +Y² = 11 what is the center of this circle

A: Given equation is a standard form of equation of circle

Q: what is the standard equation for the circle that is given in the general form? x2+y2+4x+6y-36=0

A: According to the problem, we have

Q: Find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0 intersects…

A: This is coordinate geometry problem

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

A: soluti0n follows as

Q: Find the center and radius of the circle, and sketch its graph. (x - 3)2 + y2 = 16

A: Given: Equation of circle is x-32+y2=16. To find the center and radius of the circle and sketch its…

Q: 18. Sketch the graph of a circle whose equation is x +y² + 10x - 6y = 2.

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Q: b) Express the equation of a circle 3x2 +3y2 + 42x = 12y - 111 in standard form. Then, identify and…

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

A: To find the standard form for the equation of circle  Given the diameter that has endpoints (-10,…

Q: Find the center and radius of the circle, and sketch its graph. x2 + (y - 2)2 = 4

A: Given the equation of circle x2+(y-2)2=4 The equation of circle is given by (x-h)2+(y-k)2=r2 where…

Q: 26. Find the center and radius of the circle whose equation is x2 + y + 14x + 6y = -54 C(x, y) = (

A: Concept - (x-h)^2  + (y-k)^2 =r^2  Here -(h,k) is the center of circle And r is the radius

Q: Sketch the graph of the equation x² + y² + 8 x + 10 y – 7 = 0 by first showing that it represents a…

A: The given of circle is x2+y2+8x+10y-7=0 We know that any equation of second degree…

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

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Q: Find the center and radius of the circle: x² + y² – 4x + 10y + 13 = 0

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Q: ind the equation of the circle that pass through the intersection of the circles x2 +y2 +2x +4y-4=0…

A: Here we have to find the equation of the circle that passes through the intersection of the circles…

Q: Find the center and radius of the circle, and sketch its graph. x2 + y2 = 5

A: Given: x2+y2=5 Calculation: x-a2+y-b2=r2center= a,bradius =r

Q: 2x2 + 2y? + 16x + 16y – 34 = 0 is the equation of a circle with center (h, k) and radius r for: -

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Q: 1. The equation of the circle is x² – 2x + y² +6y =-6, its center is and th radius is

A: 1. The equation of the circle is,  x² - 2x + y² + 6y = -6 So, (x² - 2x + 1) + (y² + 6y + 9) = 1+9-6…

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.x2+y2−10x−6x =−9

A: We will write the equation in standard form first. For that, we have to complete the square. We…

Q: Find the equation of the circle with center on the y-axis and has y-intercepts at 7 and 1.

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

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Q: True or False Every equation of the formx2 + y2 + ax + by + c = 0 has a circle as its graph.

A: The given statement is,  Every equation of the form x2+y2+ax+by+c=0 has a circle as its graph. To…

Q: 1. Find the equation of the center and radius of the circle: x² + y² + 4x - 8y- 5 = 0

A: Follow the procedure given below.

Q: Find the centre and radius of the circle x2+y2-4x-6y-12=0

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Q: The equation of circle C is (x+3)^2+(y-8)^236. What is its center (h.k)? *

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Q: C- Find the equation of the circle passes through the points (1,1) and (2,2) and the center of this…

A: Given:       Points where the circle passes : (1, 1) and (2, 2)        It's center passes through…

Q: Find the center and radius of the circle 8x2+8y2-20x+64y-371=0. Then graph the circle.

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Q: Is the graph of x2 + y2 = 0 a circle? If so, what is the length of a radius?

A: The standard form of the equation of the circle is (x-h)2+(y-k)2=r2. Here (h,k) is the center and r…

Q: Find the standard form of a circle given the following conditions. Sketch the graph. 1. x²+y²-25=0…

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Q: Find the equation of the circle of radius 3 with its center at the origin. 35. [A] x² +y² = 9 [B] x²…

A: The standard equation of the circle is: x-h2+y-k2=r2, where h,k and r is radius. We have given a…

Q: Find the center and radius of the circle x2 + y2 + 4x = -2y +11. Sketch the circle. %3D ....-

A: Convert the equation of circle into standard form: (x-h)^2 + (y-k)^2 = r^2

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

A: Consider the general form for the equation of the circle.

Q: Find the center and radius of the circle x2+y2-2x-18y+1=0

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Q: The equation of circle A is (x + 5)2 + (y - 1)2 = 9. What is the radius and center of circle A?

A: x+52+y-12=9⇒x--52+y-12=32 Now comparing with x-h2+y-k2=r2, we get h=-5,  k=1  &  r=3