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How do you find the equation of a circle with a point and a line?

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How do you find the equation of a circle with a point and a line?

Equation of a Circle Through Two Points and a Line Passing Through its Center

  1. Consider the general equation a circle is given by. x2+y2+2gx+2fy+c=0.
  2. x2+y2+2gx+2fy+c=0 – – – (A)
  3. –g+f+1=0 – – – (iii)
  4. x2+y2–3x–5y+8=0.

How do I find the equation of a circle?

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

How do you find the equation of a circle centered at the origin?

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The equation of a circle, centered at the origin, is x2+y2=r2, where r is the radius and (x, y) is any point on the circle.

Which of the following is an example of equation of a circle?

If x and y are squared and the coefficient of x2 and y2 are same, then it is equation of circle. For example, 3×2+3y2 = 12 is a circle’s equation.

How do you find the equation of a circle with center?

The equation of circle with (h,k) center and r radius is given by: (x-h) 2 + (y-k) 2 = r 2. Thus, if we know the coordinates of the center of the circle and its radius as well, we can easily find its equation. Example: Say point (1,2) is the center of the circle and radius is equal to 4

What is the formula to find the radius of a circle?

Therefore, the radius of a circle is CP. By using distance formula, (x-h) 2 + (y-k) 2 = CP 2. Let radius be ‘a’. Therefore, the equation of the circle with centre (h, k) and the radius ‘ a’ is, (x-h) 2 +(y-k) 2 = a 2. which is called the standard form for the equation of a circle. Equation of a Circle in General Form

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What is the mathematical way to describe a circle?

The mathematical way to describe the circle is an equation. Here, the equation of the circle is provided in all the forms such as general form, standard form along with the examples. Consider an arbitrary point P(x, y) on the circle. Let ‘ a’ be the radius of the circle which is equal to OP.

How to find the equation of a circle in AutoCAD?

1 Step 1: Enter the circle centre and radius in the respective input field 2 Step 2: Now click the button “Find Equation of Circle” to get the equation 3 Step 3: Finally, the equation of a circle of a given input will be displayed in the new window More