Suppose you have a circle with center (h, k) and radius r. Write an equation that would allow you to test whether a particular point (x, y) is on the circle.

Q: Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)…

A: Given

Q: The standard form of the equation of a circle with center (h, k) and radius r is

A: Consider the given information. The center of the circle is (h,k) and the radius is r. Substitute…

Q: Given a unit circle, what is the negative value of x having an y-coordinate of 0?

A: Given :Unit Circle Equation : x-a2+y-b2=1

Q: Find the standard equation of the circle having the given center and radius. Center (3,1), Radius 3…

A: Given center of the circle, (h,k)=(3,1)The radius of the circle, r= 53

Q: Calculate (2 + x²y) ds where C is the upper half of the circle x² + y? = 1 (y>0) -1

A:

Q: What is the equation of the circle in standard form whose endpoints of a diameter are at A(-5,4) and…

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Q: 30. Which equation describes a circle with center (-1, 2) passing through the point (2, 4)?

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Q: Evaluate xy ds where C is the right half of the circle x2 + y? = 9

A:

Q: Find an equation of the circle that satisfies the given conditions. endpoints of a diameter at…

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Q: Write the standard form of equation of the circle that satisfies the given conditions. 1. Center:…

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Q: Use the Distance Formula to show that the circle with center (0, 0) and radius length r has the…

A: Given: x2+y2=r2 Formula used: OA=x-02+y-02

Q: A 7.5 10 B 11,3

A:

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

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Q: he circle is tangent to the y-axis and the center is at (-2,-8).

A:

Q: Write the standard equation for the circle whose center is at (10,7) and whose radius is 2. Choose…

A: We have to find the standard equation of the circle.

Q: Is the point (11, –4) on the circle defined by (r- 3)+(y+10)² = 100? O Yes O No

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

Q: What is the standard equation of a circle with center (-2,3), and tangent to the x-axis? 1. (x + 2)2…

A:

Q: What is the standard equation for the circle with center (7, 3) and radius 3? O (x-7,2 + (y- 3)2 - 3…

A: Equation of circle with center (h,k)and radius r (x-h)²+(y-k)²=r²

Q: Find an equation of the circle that has P (1, 4) and Q (–2, 7) as the endpoints of a diameter.

A:

Q: Find the standard equation of the circle which satisfies the given conditions. 4. center at the…

A: The objective of the question is determine the standard equation of circles.

Q: Find an equation of the circle that has center C(3, -2) and is tangent to the line y = 5.

A: We have, the center of the circle as C3,-2. Also line y=5 is tangent to the circle. As we know that,…

Q: Find an equation of the circle that satisfies the stated conditions.

A: Given: Center C 14,0  Radius r=5

Q: Find the standard equation of the circle having the given center and radius.

A:

Q: What is the center of circle P if its diameter has endpoints at Q(-5, – 3) and R (0,6)? y 18 OE3

A: The answer is found in step-2

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. What is the center and radius of the circle given by ( x − 3 ) 2 + ( y + 2 ) 2= 16.

A: Recall the standard form of equation of a circle: (x - a)2 + (y - b)2 = r2 where center of the…

Q: find an equation of the circle that satisfies the given conditions radius=3 and center (2,-4)

A:

Q: Write the standard equation for the circle whose center is at (1,1) and whose radius is 5.

A: With center (h,k) and radius=r (x-h)2+(y-k)2=r2

Q: Given a circle with center at (-2, -2) and radius of 9, explain why the equation for this circle is…

A: We have to find

Q: Write the standard form of equation of the circle that satisfies the given conditions. 1. Center:…

A: we can find the equation of circle as below

Q: 1) Draw the circle ( x + 1 ) ^2 + ( y + 3 )^2 = 4 . 2) Write the equation of the circle centered…

A:

Q: A 9.2 B 6.9 4.6

A: The length of the side AB=9.2 units. The length of the side BC=6.9+4.6=11.5 units.

Q: Find an equation of the circle that satisfies the given conditions. Center (3, −4);    radius 5

A: Given that center is (3, -4) and radius is 5.

Q: What is the equation of the circle in standard form whose endpoints of a diameter are at A(4, – 5)…

A: Given query is to find the equation of the circle.

Q: Write an equation of a circle where the center is (4,-3) and the radius 4. OA. (x +4)2 + (y – 3)2 =…

A: Answer: B.x-42+y+22=16

Q: Write the equation of the circle centered at (6, -2) and tangent to y = 1. O (x+ 6)° + (y – 2)² = O…

A:

Q: Find an equation of the circle that satisfies the given conditions. Center (-3, 2), radius 5

A: The equation of a circle with a center at C (h,k) and radius r is :…

Q: Find an equation of the circle that satisfies the stated conditions.

A: Find an equation of the circle that satisfies the stated conditions. Given center of the circle C(4,…

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

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Q: What is the equation of the circle that has radius of 2 and centre at (-1,3)? A. (x+1) + (y – 3)² =…

A:

Q: Write the equation of the circle centered at (– 3, – 10) that passes through (– 11, – 11). (x+3)2 +…

A: Given: The center of the circle is:  (h, k) = (-3, -10) The circle passes through the point: (-11,…

Q: 4. Write the equation for a circle tangent to the y-axis and with center (5, 6). It may be helpful…

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Q: Evaluate (x+ y)ds, where C is the top half of the circle x² + y² = 4, oriented counterclockwise.

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Q: In a circle whose equation is (x – 1) +y+3) =9, the coordinates of the center and length of its…

A: To find the center coordinates and length of radius of the given circles

Q: Write the equation of the circle centered at (0,−6) with radius 17.

A: The standard form of equation of a circle is given as, where, h,k are the points where centre is…

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: 1. Determine the center and the radius of the circle whose equation is given by x² + y² – 6x…

A: We have to find center

Q: Give the center and radius of this circle: x² + y? – 8x + 4y = –11 O Center (–4, 2); Radius =3 O…

A:

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: Determine the equation of a circle with center at(3,-5) and radius of 6. O (x-3)^2+(y-5)^2=6 O…

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Q: Write the equation of the circle with the following center and radius: Center: (-1, 7), Radius: 14 O…

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Q: Find the standard form equation for a circle with center point at (2,5) and a radius of 10.

A: We have to find standard form

Q: A circle has a center at (11,-3) and a radius of 4. What is the equation of this circle?

A: We want to find out equation of the circle.

Q: Given the radius r = 12 and center (-7,10), find the standard equation of the circle. O (x+7)² +…

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Q: A circle has the radius of 5 and its center at (4,8). What is the equation for the cirlce?

A: We know that equation of circle is  (x-h)^2 + (y-k)^2 = r^2

Q: Find the x- and y-intercepts of the given circle. the circle with center  (5, −4)  and radius 6

A: