Given the three points (-3, 2), (-1, -6), and (4, -3) that lie on the circle Find the center of the circle, find the radius of the circle, find the equation of the circle in standard form and find the equation of the circle in general form.

Q: find the standard form of the equation of each circle. With endpoints of a diameter at (1, 4) and (…

A: We know that if endpoints of diameter is x1,y1, x2,y2 then equation of circle is given by…

Q: Find equations for the altitudes of the triangle with vertices A(-3, 2), B(5, 4), and C(3, -8), and…

A: Given,           Altitudes of the triangle with vertices A(-3,2), B(5,4) and C(3,-8)

Q: (a) write the equation of the circle in standard form and (b) identify the center and radius. x^2 +…

A: Consider the provided equation of circle is,

Q: Show that the equation represents a circle, and find the center and radius of the circle. x2 + y2 +…

A: x2+y2+6y+2=0 On simplification, we get ⇒x2+y2+6y=-2⇒x2+y2+6y+9=-2+9⇒x2+y+32=7⇒x-02+y--32=72 Now it…

Q: Write the standard form of the equation of the circle with the given center and radius : Center (-4,…

A: To write the standard form of the equation of the circle with the given center and radius.

Q: 3. Give the radius and the coordinates of the center of the circle. Then write equation of the…

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Q: Complete the squares in order to write the equation of the circle. Then identify the coordinates of…

A: GivenEquation of the circle :x2+y2-2x-24y+120=0

Q: Find the equation of the circle that passes through the origin and has its center at (8, -15).

A: Circle passes through the origin and has its center at 8, -15. Now the radius is the distance…

Q: Show that the equation represents a circle, and find the center and radius of the circle. x2 + y2 -…

A: A circle is a round shaped figure that has no corners or edges. In geometry, a circle can be defined…

Q: of each circle

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Q: Find the standard form of the equation of the circle whose center and radius are given. a. ( h , k )…

A: The standard form of equation of circle is given by: x-h2+y-k2=r2 where h,k is the centre of the…

Q: write the standard form of the equation and the general form of the equation of each circle of…

A: We have  Radius of the circle is r=2 Center: h, k=10, 22    We know that standard equation of the…

Q: The points (-11,-3) and (6,4) are the end points of the diameter of a circle, find the length of the…

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Q: Find the center and radius of the circle with the given equation x2 + y2 = 16.Then sketch the…

A: The standard form of the equation of a circle is (x-h)2+(y-k)2=r2. In this equation the center is at…

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

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Q: Write the standard form of the equation of the circle with the given center and radiu Center (-6,8),…

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Q: Write the equation of the circle if the circle centered at (0,0) and have a radius of 1.5

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Q: Write the standard form of the equation of the circle with the given center and radius. Center (-…

A: This question is about writing equation of circle in standard form having  center (h, k)  &…

Q: Write the given equation of the circle in standard form and find the center and radius of the…

A: The given equation,    x2+y2-4x+2y-4=0

Q: write the standard form of the equation and the general form of the equation of each circle of…

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

Q: write the standard form of the equation of the circle with the given center and radius,center (0,…

A: The radius of the circle is 7 The center of the circle (h, k) is (0,0) The standard form of the…

Q: Give the equation of the circle centered at the origin and passing through the point (0, -11).

A:

Q: find the standard form of the equation of each circle. Center at the origin and containing the point…

A: We have to find the equation of circle center at the origin and containing the point -2, 3. We know…

Q: Find the center and the radius of each circle. X2+Y2-8X-12y+3=0

A: Find the center and the radius of each circle. x2+y2-8x-12y+3=0

Q: Given the coordinate graoh below what Would be the center of the circle and the radius? Then what is…

A: Center- From the given graph center of circle is (0,0)

Q: write the standard form of the equation and the general form of the equation of each circle of…

A: To find: The standard form  and the general form of the equation of circle having radius 4 and…

Q: Find the center and radius of the circle with the given equation x2 + y2 = 4.Then sketch the circle.

A: given,        x2+y2=4                         equation1

Q: Determine each of the following for the circle whose equation is ² The equation of the circle in…

A:

Q: circle

A: The general equation of a circle is- (x - h)2 + (y - k)2 = r2  Where, (h, k) is the center and r is…

Q: Give the equation of the circle centered at the origin and passing through the point (-5, 0). OP

A:

Q: Write the equation of the circle if the circle centered at (0,0) and have a radius of √5.

A: The detailed solution of the problem is given in the next step.

Q: find the radius and center for the circle equation x2+4x+y2-6y=-9

A: x2 +4x+y2 -6y=-9 =>x2 +4x+22 +y2 -6y+32 =-9+22 +32 =>x2+(2*2*x)+4 +y2 - (2*3*y)+9 =-9+4+9…

Q: b. Find the standard form of the equation of each circle

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Q: Given a circle with the equation (x – 1) + (y - 4) = 21, which of the following represents the…

A: General equation of a circle :x-h2+y-k2=r2where (h,k) is center of a circle and r is radius

Q: Find the center and radius of the circle whose equation is given 3x? + 3y? – 6x + 9y = - 3

A: We have to find the centre and radius from the given equation

Q: Show that the equation represents a circle, and find the center and radius of the circle. x2 + y2 -…

A: To Determine: Find the center and radius   Given: x2 + y2 - 2x + 4y + 1 = 0

Q: find the standard form of the equation of the circle whose center and radius are given.          1h,…

A: Given centers are (1,-2) and radius r =4

Q: Find an equation of the circle that has center (-5, -1) and passes through the origin.

A: Given that, The center of the circle is (-5, -1) and passes through the origin. Find the equation of…

Q: If P = (-4, -3) and Q = (2 , 1) are the endpoints of the diameter of a circle, find the equation of…

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Q: The equation of a circle is given by (x+ 4)² + (y+ 1)² = 36. Find the coordinates of the center of…

A: Given: x+42 +y+12 = 36 To find: The coordinates of center of given circle.

Q: Show that the equation represents a circle by rewriting it in standard form. x² + y² - 6x + 6y + 2 =…

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Q: Transform the given general equation of a circle to standard form, then, give the coordinates of the…

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Q: Write the stan dard form of the equation of the circle with the given center and radius. center…

A: Given,         Center -2,4 and r=6We know that,          The standard form of the equation of the…

Q: Show that the equation represents a circle, and find the center and radius of the circle. x2 + y2 +…

A: Given equation is x2+y2+x=0. To show that the equation represents a circle and to find the center…

Q: Find the standard form of the equation of the circle with endpoints of a diameter at the points…

A: The general form of equation for the circle is given by - x-h2+y-k2 = r2…

Q: Write the standard form of the equation of the circle with the given center (-2, 4) and r = 6.

A: Consider the provided information, center -2,4  and  r=6 Write the standard form of the equation of…

Q: Show that the equation represents a circle, and find the center and radius of the circle. x2 + y2 +…

A: Standard form of the equation of circle, (x-h)2+(y-k)2=r2 where (h,k) is the center of the circle…

Q: write the standard form of the equation and the general form of the equation of each circle of…

A: If we have a circle with radius r  center (h ,k) then equation of circle is  (x- h)2 +(y-k)2 = r2

Q: Given the points (-2, -2) and (4, 6) are the endpoints of the diameter, which of these are the…

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