Calcupedia

Standard Equation of a Circle Calculator

Math

Find the standard and general form equations of a circle from its center and radius, along with its area and circumference.

Ad · Billboard
-100,000100,000
-100,000100,000
0.01100,000

Standard form equation

(x - 2)^2 + (y - 3)^2 = 9.0000

The standard form equation of the circle

General form equation

The general form equation of the same circle x^2 + y^2 + Dx + Ey + F = 0, where D = -4, E = -6, F = 4.0000

Area

28.2743

The space enclosed by the circle

Circumference

18.8496

The distance around the circle

Share result
Reload calculator
Clear inputs

Found this calculator useful?

From Scratch To $10K/Month In 60 Days

This is a proven money making system that takes students by the hand to make at least $10,000 per month, every month. Students get 12 weeks of guided coaching in addition to the "MPS Super Funnel" and tools.

We value your privacy and promise not to sell or misuse your information. Here's our privacy policy.

Calculator Stats

Odeh Ahwal

Creators

Odeh Ahwal
Reviewed and verifiedThis calculator was reviewed and verified by the Calcupedia due diligence team.

0people find this calculator helpful

Views

Helpful

Saved

Embeds

Like
Share
Embed this calculator
Cite
Save
Ad · 300×250
Ad · 300×250

Frequently Asked Questions

What is the standard equation of a circle centered at (2, 3) with radius 3?

The standard equation is (x - 2) squared plus (y - 3) squared equals 9.

How is the general form found from the standard form?

D equals negative 2 times the center x-coordinate, E equals negative 2 times the center y-coordinate, and F equals the center x-coordinate squared plus the center y-coordinate squared minus the radius squared.

What other properties does this calculator find besides the equation?

It also finds the circle area and circumference directly from the radius, alongside both equation forms.

Spot a mistake? Tell us what's wrong.

Don't see what you need?

Request a calculator. The most-requested ones get built first in our monthly batch.

Request a calculator

Want this calculator on your website?

Embed the Standard Equation of a Circle Calculator on any site — no code needed. Customize colors, remove branding, and track usage.

Embed it free →
Embed on any platform — Next.js, React, Vue.js, PHP, Laravel, Shopify, Wix, Webflow, Squarespace, and more