What is the standard form equation of a circle and what other equation(s) is it derived from?

Q: 1. How will you determine the center and radius given the equation of the circle  in general form?

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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: Find the standard form of the equation of the circle. Center: (1, -2); point on circle: (-2, 2)

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Q: Write the standard equation of the circle with center (– 2, 7) and the point ( – 12, – 1) on the -…

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Q: Find the equation of the circle in standard form centered at (1, 4) passing through the point (5,…

A: Standard form of a circle:

Q: A circle has a center at (-5, 6) and a radius of 7. What is the equation of this circle?

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Q: The standard equation of a circle with center at (2,-3) and radius 1 is _____.

A: Given : Center at 2,-3 and radius 1

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

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

Q: Write the standard form of the equation of the circle with the given characteristics. Center: (0,…

A: Given infromation:The given characteristics is shown belowcenter (0, 0); and  radius 8.

Q: Write the equation of the circle centered at (7, – 2) with radius 12.

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Q: Find the standard form of the equation of the circle. Center (1, 0) and containing the point ( - 3,…

A: Given: Center (1, 0) and containing the point ( - 3, 2)

Q: Give the simplified general form equation for the circle with center (3, -5) and radius 2.

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Q: 4) The point (3,4) is on a circle whose center is (1,4). What is the standard equation of this…

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Q: Find the equation of a circle whose center is at (5, -1) and radius 3.

A: Equation of a circle is given by : ( x - h )2 + ( y - k )2 = r2  Where (h,k) is the centre of the…

Q: Find the standard equation of the circle having the given center and radius.   center(1,6) and…

A: in this type of question, we simply use the formula of the standard circle equation and solve it by…

Q: 1. Find an equation of a circle with center (-3, 4) and radius 5.

A: The above problem is solved.

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

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Q: What is the center-radius form of the equation of the circle with center (4,0) and radius 5

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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: Write the equation of the circle that has the ends of adiameter at (1, 6) and (4, -1)

A: A circle is a set of points which are equidistant from a point called center of the circle. The…

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: Find the equation of the circle with radius 1 and center (−4, −1).

A: Find the equation of the circle with radius 1 and center(−4, −1).

Q: A circle has an area of A = 15.7 and a center of (3,-2). What is the standard form equation of this…

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Q: Write the standard form of the equation of the circle with the given center (0, 0) and radius = 3.

A: We have to write standard equation of the circle having centre 0,0 and radius=3 Concept: If a circle…

Q: The standard equation of a circle with center at (2, - 3) and radius 1 is________

A: We know, Equation of a circle in standard form with center (h,k) and radius r units is given by:…

Q: How is the standard form of a circle’s equation obtained from its general form? Explain.

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

Q: The point (4, 2) is on a circle with center (1, 2). Write the standard equation of the circle.

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Q: Write the equation of the circle centered at (0,-3) with radius 10/3.

A: To determine : The equation of circle centered at (0,-3) with radius 10/3.

Q: What are some very unique features to a circle and where do we see then in the real world?

A: Some of the unique properties of circles are listed as follows: -  a) Diameter : the line that join…

Q: what is the​ center-radius form of the equation of the circle with center ​(10​,0) and radius 9?

A: given,    center of the circle =10,0and  radius =9

Q: Write the equation of the circle centered at (5,1) with radius 20.

A: Given, Center = (5, 1) Radius = 20

Q: A line passes through the center of a circle and intersects it at points (2,3) and (8,7).What is the…

A: A line passes through the center of a circle and intersects it at points (2,3) and (8,7).What is the…

Q: Write the equation of the circle in general form that will satisfy the given conditions. 25. Center…

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Q: Find an equation of the circle centered at (3, −2) that passes through the point (5, 4).

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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: Find the standard equation of the circle having the given center and radius. Center (10,10), Radius…

A: the standard equation of the circle is given by ...............(1)

Q: Find the standard form of the equation of the circle having the following properties: Center at the…

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Q: What are the coordinates for the center of the circle? What is the radius of the circle? What is the…

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Q: How do I get the exact answer not the approximate of a circle?

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Q: 1. Find the equation of a circle whose center is at (5, - 1) and radius 3.

A: General equation of circle whoe center is at ( h,k) and radius is R  is (x-h)2+(y-k)2=R2

Q: The diameter of a circle is 18 units and its center is at (-3,8). What is the equation of the circle…

A: Radius of circle is half the value of diameter

Q: 2. If an equation of a circle is given in the general form what technique can we use to convert the…

A: The center -radius equation form of a circle is(x-a)2+(y-b)2= r2, where (a,b) is the center of…

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: Write the equation of the circle centered at (10, – 6) with radius 15.

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Q: Write the standard form of the equation of the circle with radius 4 and center (−7,−1).

A: given center=-7,-1 and radius=4find the standard equation of a circle

Q: Write the equation of the circle centered at (1, – 9) with radius 10.

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Q: What's is equation of circle??

A: Here we will know about the two forms of equation of circle a. The general form b. The standard form