b. In the circle whose equation x2 + y2 = 49, a chord is perpendicular to a diameter at the point (0, 4 ). Find the length of the chord. c. Write the equation of the circle tangent to both the x and y axis, given that its radius is 3 and its center is in the fourth quadrant.

Q: with

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Q: Find the center and radius of the circle x2 + y2 - 10x + 4y + 20 = 0.

A: x2+y2-10x+4y+20=0 On simplification, we get…

Q: Find the standard form of the equation of the circle. Center ( - 3, 1) and tangent to the y-axis

A: The center of a circle is ( - 3, 1) and tangent to the y-axis.

Q: What is the center and radius for the circle with equation 2x? – 8x + 2y? + 12y + 14 = 0? A (2,–3);…

A: We have to find the centre and radius of given Circle.

Q: find the center and the length of a radius of each circle. x2 + y2 - 10x + 2y + 1 = 0

A: Consider the given equation x2+y2-10x+2y+1=0. Note that, for equation of circle x2+y2+2gx+2fy+c=0,…

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

A:

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 equation of a circle, in general form (x² + y² + Bx + Cy + D = 0), centered at the point…

A: The question mentions that the circle is centered at the intersection of lines, 2x+y=-10x-2y=5 Now,…

Q: Recall the equation for a circle with center (h,k) & radius r. At what point in the first quadrant…

A:

Q: Give the equation of the circle centered at the origin and passing through the point (0,-6). D=0

A: equation of circle centered at origin

Q: Find the standard form of the equation of the circle. With endpoints of a diameter at (4, 3) and (0,…

A: Known fact: The equation of circle with endpoints of a diameter at x1, y1  and  x2, y2 is given by…

Q: when the center of a circle is at the origin, the equation to be used is when the center of a circle…

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Q: find the center and the length of a radius of each circle. x2 + y2 + 6x + 10y + 18 = 0

A: Standard equation of circle in center and radius form is x-h2+y-k2=r2 Where h,k is coordinate of…

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

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Q: find the center and the length of a radius of each circle. x2 - 12x + y2 + 8y + 3 = 0

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

Q: find the center and the length of a radius for each circle. x2 + 14x + y2 - 8y + 16 = 0

A: A circle is a closed figure with a center and a radius wherein every point on the boundary of the…

Q: Give the center and radius of the circle. x 2 + y2 = 25

A:

Q: IF the equation of the circle is x² + y? = 11 Find the radius ?

A: r=11explanation is given in below step

Q: 1. Find the coordinates of the center and the measure of the radius for a circle whose equation is…

A: We know, the equation of a circle having coordinates of center (h,k) and radius r units is Given by:…

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: ind the equation of the circle that circumscribes the triangle whose sides are formed by the lines…

A: Definition used -     For finding the center of the circumcircle, First, we have to find the…

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

A: We have to find the h,k, r

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: 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 standard equation of the circle concentric with x? + y? +2x – 4y – 5 = 0, radius is 7.

A:

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: Give the center and the radius of the circle.  x2+y2=36

A:

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

A:

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: A given circle has the equation x2+y2−4x−2y+4=1. What is the center of the circle?

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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: What is the radius of the circle with the following equation: x² + y² - 16x + 14y - 8 = 0

A:

Q: 14. Find the radius and center of a circle with the equation x2 + y2 + 4x – 8y = 16.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Give the equation of the circle that is tangent to the y-axis and center is (-3, 4 .

A: Given that center of the circle (-3,2), it is given that y-axis is the tangent to the circle means…

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: 4. Find the center and radius of the circle given by this equation: x² - 10x + y + 6y - 30 = 0

A:

Q: find the center and the length of a radius for each circle. x2 - 12x + y2 + 16y = 0

A: To find the center and length of radius for given equation of the circle: x2-12x+y2+16y=0 Solution:…

Q: ont 9. x2 + y2 – 2x + 10y +1 = 0 10. x2 + y2 -6y - 4 0

A:

Q: Find the center and radius for the circle defined by the following equation: x2 + y2 + 6x - 12y + 20…

A:

Q: Give the equation of the circle centered at the origin and passing through the point (-8, 0). O=0

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

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: Given the circle x^2 +y^2=25 and point P(x1,y1)on the circle, find the equation of the line in…

A:

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

A:

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

A: Given equation is x2+y2-2x-2y=2. To show that the equation represents a circle, and find the center…

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

A: Here we use distance formula and point formula Let us consider two points A (x1,y1) and B(x2,y2)…

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

A:

Q: Find the standard form of the equation of the circle. Center ( - 1, 3) and tangent to the line y = 2

A: To find: The standard form of the equation of the circle. Given information: Center ( - 1, 3) and…

Q: Given the equation (x + 3)² + (y – 6)² = 9, does the point (0,6) lie inside, outside or on the…

A: To find whether the point (0,6) lies inside or outside the circle