Eliminate the parameter, then write the resulting equation in standard form for the given situation. A circle: x=h +rcos t, y = k+rsint Write the resulting equation in standard form.

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

A:

Q: 1. Find the center and radius for each equation of a circle. (x+ 5)2 + (y - 1)2 = 49 %3D Center (

A: Solution; Consider the given equation of the circle: x+52 + y-12 = 49 Comparing the given equation…

Q: Use the given information to write the standard equation of the circle. 24. a circle with center (1,…

A: Find equation of circle?

Q: Find the standard form of the equation for the circle with the following properties. Center and…

A:

Q: write the equation of each circle. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.…

A: Given: Center of circle=0, 0Radius of circle r=25 To Find: The equation of the given circle

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: complete the square to put the equation of the circle in standard form. Give the coordinates for the…

A: Given equation is x2+y2+4x−6y+12=0 First we put the equation of the circle in standard form Add both…

Q: c) Write the equation of the circle 4x? + 4y? + 4x – 16y – 20 = 0 in standard form. Hence, determine…

A:

Q: Write the standard form of the equation of the circle with radius 8 and center (−6,−10). Provide…

A: Given that circle center is (-6 ,-10) and radius is 8 and find the standard form of circle equation.…

Q: write the equation of each circle. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.…

A: Consider the given center -4,1 and radius 8

Q: Find the parametric form of (i) the circle x?+y? =p²

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Given x^2+ y^2+ 14x− 10y + 70 = 0 a.Write the equation of the circle in standard form. b.Identify…

A: The given equation of circle is,

Q: Determine the center and radius of the following circle equation: a2 + y? – 14x 10y – 26 = 0

A: The general equation of circle is given by, x-h2+y-k2=r2 Here, h,k are the coordinates of the…

Q: Enter the equation of the circle with the given center and radlus. Center: (0, 4); radius: 6 The…

A: Given that circle radius (r) =6 and circle centre is(h, k) =(0,4). We know that the equation of…

Q: Find the center and radius of the circle with the given equation.Then sketch the circle.

A: x-122+y-122=94

Q: Nrite the standard equation of the circle with center (-1,-1) and r= 2. The standard form af at

A: The standard equation of the circle is (x-h)(y-k)=r2 where , (h,k) is the center point and radius =r

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: 1. State the centre and radius of the circle with equation and hence sketch the circle, a? – 4x + y?…

A:

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

A: A circle is locus of points equidistant from a point which called its center. Distance of points…

Q: write the equation of each circle. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.…

A: Wer have given centre of circle is 3,5 and radius is 5. Then, equation of circle…

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

A: Given query is to find the centre and the radius of the circle.

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: write the equation of the given circle in standard form.  Then find its center and radius…

A:

Q: write the equation of each circle. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.…

A: Given :             Center is (2, 6) and radius r = 7.    To find the equation of circle.

Q: a. Consider the circle, x2 + 6x + y? + 18y + 89 = 0 i) Write the equation of the circle in standard…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. Consider the circle given by the following equation: x2 + y? +6x – 14y + 22 = 0 (a) Find the…

A: Given : x2+y2+6x-14y+22=0

Q: Rewrite the circle 3x2+3y2-6x=0 in (x-h)2+(y-k)2 form. State the center of the circle and its…

A:

Q: Show that the equation represents a circle by rewriting it in standard form. x2 + y2 − 8x + 10y +…

A: Given: x2 + y2 − 8x + 10y + 25 = 0

Q: The equation of a circle is given below. Identify the radi x² +y² - 4x+2y+1=0

A:

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

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

Q: Write the equation of the circle s+y-6y +1=0 in standard form. B iUF, E E A

A:

Q: Find an equation for the circle or semicircle

A: Given                circle has centre at origin (0,0)              circle radius from the figure=3…

Q: Write the standard form of the equation of the circle centered at (h, k). Center: (-4, 1); Passes…

A: Topic- equation of circles

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

A:

Q: write the equation of each circle. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.…

A:

Q: II. Write the equation of the circle in standard form and in general form given its center and…

A:

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: 3. Rewrite the following equation for a circle in standard form, identify center and radius. x² +y?…

A: The algebraic identities are a±b2=a2+b2±2ab, where a, b are any algebraic expression. Rearrange the…

Q: Eliminate the parameter, then write the resulting equation in standard form for the given situation.…

A: Use standard form of circle.

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

A:

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

A: The given equation of circle is,

Q: Write the equation of a circle where the center is (-1,2) and a point on the circle is (-6, 2). OA…

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

Q: Given the equation of the circle x^2 + y^2 + 12x− 4y+ 31 = 0 a. Write the equation in standard form.…

A: a.Given the equation of the circle x^2 + y^2 + 12x− 4y+ 31 = 0.

Q: he general form of the equation of a circle is r +y² -x+5y+5=0. What is the equation of the circle…

A:

Q: Find the center and radius of the circle give equation: x? + 10x + 25 + y – 14y + 49 = 4. WRITE THE…

A:

Q: write the equation of each circle. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.…

A: Given center of circle is (-3,7) and radius is 6. To write the equation of circle and express them…

Q: write the equation of each circle. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.…

A: We know, the equation of a circle with center at (h,k) and radius r units is given by:…

Q: The equation of a circle is given below. Identify the 2+y² - 2x+ 4y– 11 = 0

A: From the given problem:   x2+y2-2x+4y-11=0   As we know that the standard form of the circle is:…