How do you write the standard form of the equation 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 is standard form of a circle?

The equation of a circle comes in two forms: 1) The standard form: (x – h)² + (y-k)² = r². 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 .

How do you 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. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

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.

Is circle a function?

A circle is a curve. It can be generated by functions, but it’s not a function itself. Something to careful about is that defining a circle with a relation from x to y is NOT a function as there is multiple points with a given x-value, but it can be defined with a function parametrically.

How do you plot a circle?

follow these steps:Realize that the circle is centered at the origin (no h and v) and place this point there.Calculate the radius by solving for r. Set r-squared = 16. Plot the radius points on the coordinate plane. Connect the dots to graph the circle using a smooth, round curve.

How do you find the standard form of a circle with the center and a point?

1 AnswerThe equation of a circle with center (h,k) and radius r is: r2=(x−h)2+(y−k)2.We are told that the center of this circle is (2,4) , so. r2=(x−2)2+(y−4)2.The radius of the circle is 5 , which means the equation of the circle is: 25=(x−2)2+(y−4)2.

How do I calculate the area of a circle?

The area of a circle is pi times the radius squared (A = π r²).

How do you convert standard form to standard form?

Step 1: Subtract how many decimal places there are from the power. Step 2: Remove the decimal point, add as many zeros as the number in Step 1. Step 1: Subtract how many decimal places there are from the power. There are 3 decimal places.

What is Standard Form calculator?

Standard Form Calculator is a free online tool that displays the number in the standard form. The number can be in either integer form or the decimal form.