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Circle Equation

Standard and general form of a circle equation

Circle Equation Calculator

Center x (h)
Center y (k)
Radius

The standard form of a circle equation is (x − h)² + (y − k)² = r², where (h, k) is the centre and r is the radius. This form makes it easy to identify the centre and radius directly.

  1. 1Standard form: (x − h)² + (y − k)² = r²
  2. 2Centre is at (h, k)
  3. 3Radius r = √[(x−h)² + (y−k)²]
  4. 4Area = πr², Circumference = 2πr
Centre (2, 3), r = 5=(x − 2)² + (y − 3)² = 25
Centre (0, 0), r = 7=x² + y² = 49
RadiusAreaCircumference
13.146.28
578.5431.42
10314.1662.83
rπr²2πr
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