What is the standard form of the equation of a circle with center 3 and radius 4?

Summarizing: The equation of the circle with center (−3,−4) and radius 3,in standard form, is: (x+3)2+(y+4)2 = 9.

What is the equation of a circle with center and radius 4?

(x-a)^2 + (y-b)^2 = r^2 is the equation of a circle which has center point (a,b) and radius r. So in this question (2,-3) is the center and r=4. The equation of a circle with center (h,k) and radius r is given by: Here, h = 2, k = -3 and r = 4.

How do you find the general equation of a circle?

We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius.

How do you know if an equation is the equation of circle?

How do we know if an equation is the equation of circle? If x and y are squared and the coefficient of x 2 and y 2 are same, then it is equation of circle. For example, 3x 2 +3y 2 = 12 is a circle’s equation.

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

Which is the standard form for the equation of a circle?

which is called the standard form for the equation of a circle. Equation of a Circle in General Form The general equation of any type of circle is represented by: x2 + y2 + 2gx + 2fy + c = 0, for all values of g, f and c.

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.