Standard Form to General Form of a Circle Calculator
If you're looking for a quick way to convert the circle equation from standard form to general form, our standard form to general form of a circle calculator is a perfect match for you.
Please read this short article to learn more about:
- How to use our standard form to the general form of a circle calculator?; and
- How to convert the circle equation from standard form to general form?
How to use our standard form to general form of a circle calculator?
To use our calculator, you can use the following guide:
- Make sure your circle equation is in standard form: ;
- Insert the parameters: h, k, and C present in standard form into the respective fields; and
- Right away, you will get the circle equation in a general form.
Nice, you are an expert in using our calculator now ;).
How to convert the circle equation in standard form to general form ?
To convert the circle equation from the standard to general form, you can use the following steps:
- Extract the radius and center information from the standard form. You can see below from the standard form we can observe the variables
k, which correspond to the center, and r corresponds to the radius.
- General form of the circle equation is given as:
- Now, use the following formula to compute the coefficients of the general form:
- Finally, substitute the values obtained to get the circle equation in a general form.
Excellent, you have learned how to convert circle equation from standard form to general form.
More calculators to assist you
Check out our circle-related calculators created to assist you in solving circle-related problems. Whenever you need them, they will be available here:
What is the general form of a circle equation with diameter endpoints (4,8), (6,6)?
The general form is given as
x²+y²-10x-14y+72=0. To find the general form, start with the general form
x²+y²+Dx+Ey+F=0, and let's find the coefficients using the following steps:
- Find the center
(h,k)and distance between the diameter endpoints using the midpoint and distance formulas, respectively.
- Divide the distance found in step 1 by
2to obtain the radius
- Calculate the coefficients of the general form using the following equation:
- substitute the coefficients to obtain the circle equation in a general form:
How do I find the radius from circle equation in general form?
To find the radius from the general form, use the following steps:
- Extract the coefficients from the general form:
- Use the formula of
Fwhich is given as
- Rearrange the formula of
Fin terms of radius
- Solve the equation in step 3 to obtain the radius of the circle.
Hooray! Now you know how to find the radius if you are given with circle equation in a general form.