A couple and their dog moved into a new house that does not have a fenced-in backyard. The backyard is square with dimensions 100 feet by 100 feet. If they put a stake in the center of the backyard with a long leash, write the equation of the circle that will map out the dog's perimeter.

Q: What is the diameter of a circle given the equation x² + 5x = -8y – y²

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Q: Find an equation of the circle whose diameter has endpoints (-4,-3) and (6, 6).

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Q: Write an equation of the circle with center (3, -9) and radius 4.

A: To write an equation of the circle with center 3, -9 and radius 4.

Q: How would you recognize a nonstandard equation as a circle?

A: Equation of a circle will contain the terms x2  &  y2 with same coefficients.

Q: Convert the equation 3x²+3y 2+ 6x+24y=9 to the standard form of a circle.

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Q: Write the equation of the circle (x-3)2 + (y+2)² = 25 in general form.

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Q: Find an equation of the circle whose diameter has endpoints , 46 and , 4−4 .

A: To write down the equation of satisfied by all the points on the given locus

Q: Write an equation of the circle with center (-3, 4) and radius 5.

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Q: Write the equation of the circle. 8 -6 -4 | 4. 9.

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Q: center (-2, -8); r = 4

A: A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are…

Q: Write the standard form equation of the circle: Center (-13, 13) Radius: 2

A: Given : center (-13, 13)               Radius: 2

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: a circle is described by the equation x2+y2-16x=0. what is the length of the chord which is 4 units…

A:

Q: Write the equation whose diameter has endpoints(1,10) and (−15,−2).

A: Given:The endpoints of the diameter is (1,10) and (-15,-2).

Q: Find an equation for the circle or semicircle

A: A circle

Q: The equation x2 +y² - 6x + 2y b describes a circle. If the radius of the circle is 4 units, what is…

A: We can find the value of b from the general equation of circle as below.

Q: Given the equation of a circle, (x+5) +(y-2) = 32, what are the coordinates of the center and the…

A:

Q: Find the equation of the circle if its diameter has an end points of (6, 1) and (-2, 3)

A: Suppose A6 , 1  and  B-2 ,3 be the endpoints of the diameter, O be the center and r be the radius of…

Q: center (0, 4); r = 3

A:

Q: Find an equation of the circle whose diameter has endpoints (3,-2) and (-5,-4).

A: The endpoints of the diameter are : x1,y1 = 3,-2 x2,y2 = -5,-4 To evaluate : The equation of the…

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

A: Given: Equation of circle x2 + y2 + 4x - 8y = 16 To find out: Radius and center of circle.

Q: Write the equation of a circle with: 1. Center at the origin and radius 10

A: 1) It is given that centre of a circle is at the origin and radius is 10 unit. We have to find the…

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: find the equation of the circle through (-2, 1) (4,-3) and (4,7)

A: Given, (-2,1),(4,-3) and (4,7)

Q: Write the standard form equation of the circle. -4 (x 2 + (y 2.

A:

Q: Write the equation of a circle with a center of (1,-2) and radius of 4

A: On solving ,we get

Q: Find an equation of the circle whose diameter has endpoints (2,3) and (-4,-1).

A: Two end points of the diameter are (2,3) and (—4,—1). So the centre of the circle should be the mid…

Q: Suppose a circle is derived by the equation (x−2)^2+(y+4)^2=152. Identify the length of the radius.

A: Given problem:- Suppose a circle is derived by the equation (x−2)2 +(y+4)2 =152. Identify the length…

Q: Find an equation of the circle with radius 7 cm and center ( -3,7)

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Q: Write an equation of the circle with center (-7, 5) and radius 3.

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Q: Write an equation of the circle with center (4, -3) and radius 8.

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Q: Write an equation of the circle with center (-6, 8) and radius 9.

A: Given center is (-6,8) and radius is 9We know the equation of circle is (x-h)2+(y-k)2=r2 (h,k) is…

Q: 4. -x

A:

Q: Write an equation of the circle with center (-3, 4) and radius 7.

A:

Q: Write the equation in general form of the circle with center (3, -4) and radius √11

A: Topic:- circle equation

Q: Write an equation of the circle with center (-8,-5) and diameter 4. L X

A: Topic = Circle

Q: find the equation of a circle whose diameter has endpoints (-3,-3) and (-3,6)

A: We have been given endpoints of diameter of circle as (-3,-3) and (-3,6) and we need to find the…

Q: Find an equation of the circle whose diameter has endpoints (3, 6) and (-2, 2). O=0

A:

Q: Jennifer needs to use a ladder to clean a second floor window on a building. If the window is 13 ft…

A: Given that height of window above the ground is 13ft base of the ladder is 4 ft from the building…

Q: Write an equation of the circle with center (8,-7) and radius 2

A: Write an equation of the circle with center (8,-7) and radius 2

Q: Write the equation of the circle with a diameter with endpoints, (6,12) and (16, -8)

A: Given ends point of  diameter   (x1,y1)=(6,12)(x2,y2)=(16,−8)

Q: Find an equation of the circle whose diameter has endpoints (1, 2) and (-5, -6). O=0

A: Using the given data given we can find the equation of circle as below

Q: Write the equation of a circle with Center: (-1, 4) Radius: 4

A: we have to write the equation of a circle with center (-1,4) and radius 4

Q: Write an equation of the circle with center (9, -6) and radius 4.

A:

Q: Find an equation of the circle whose diameter has endpoints (-2, -3) and (4, 5).

A: We can write the equation of circle as below.

Q: Write the equation general equation of the circle concentric with x2+y2+2x-4y=5, and radius is 8.

A:

Q: center (-3, 2); r = V10

A: we have to insert given values in the standar

Q: The endpoints of a diameter of a circle are A (6, 5) and B (4, -1). What is the standard equation of…

A: The endpoints of a diameter of a circle are A(6,5) and B(4,-1). What is the standard equation of the…

Q: The equation x2+y2 - 6x + 2y = b describes a circle. %3D If the radius of the circle is 4 units,…

A: Explanation of the answer is as follows

Q: Write an equation of the circle with center (4, -6) and radius 9.

A: Write an equation of the circle with center (4, -6) and radius 9.