Equation of the circle

What is the general equation of a circle?

EQUATION OF A CIRCLE. 2) The general form : x2 + y2 + Dx + Ey + F = 0, where D, E, F are constants. If the equation of a circle is in the standard form, we can easily identify the center of the circle, (h, k), and the radius, r . Note: The radius, r, is always positive.

What is the formula for calculating a circle?

C = pi * d calculates the circumference (distance around the outside of the circle). D in the formula refers to the diameter which is the width of the circle. The formula for the area of a circle is A = pi * r * r where r is the radius (diameter / 2).

How do you write the standard form of a circle?

The standard form of a circle’s equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.

What does H and K mean in a circle?

h and k are just arbitrary letters chosen to represent values in a standard circle equation, Now they are a convention, so everyone usually uses those letters. Circle equation in standard from is: (x-h)^2 + (y-k)^2 = r^2. h and k stand for x and y coordinates of a circle’s center, r is radius.

How do we calculate area?

To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

What is the symbol for pi?

π

How do you find the center of a circle using an equation?

The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being “r”. This form of the equation is helpful, since you can easily find the center and the radius.

What is the distance around a circle called?

The distance around the boundary of a circle is called the circumference. The distance across a circle through the centre is called the diameter. The distance from the centre of a circle to any point on the boundary is called the radius.

What is an example of standard form?

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it’s pretty easy to find both intercepts (x and y).

What’s a standard form?

Standard form is a way of writing down very large or very small numbers easily. So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form. Small numbers can also be written in standard form.

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