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- The equation of a circle can be expressed in different forms:
- General Form: x^2 + y^2 + 2gx + 2fy + c = 0, where the center is (-g, -f) and the radius is √(g^2 + f^2 - c)1.
- Standard Form (for a circle centered at the origin): x^2 + y^2 = r^2, where r is the radius2.
- Locus Form: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle3.
- Area of a Circle: A = πr^24.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.The General Form of the equation of a circle is x 2 + y 2 + 2gx +2fy + c = 0. The centre of the circle is (-g, -f) and the radius is √ (g 2 + f 2 - c).revisionmaths.com/advanced-level-maths-revision/…The equation of a circle of radius r and centre the origin is x2 + y2 = r2.mathcentre.ac.uk/resources/workbooks/mathcentre…Equation of Circle Let M (x, y) be any point on the circumference of the requited circle. Therefore, the locus of the moving point M = CM = radius of the circle = r ⇒ CM 2 2 = r 2 2 ⇒ (x - h) 2 2 + (y - k) 2 2 = r 2 2, which is the required equation of the circle.www.math-only-math.com/equation-of-a-circle.htmlTo illustrate the formula for the area of a circle:
- A circle can be cut into sectors .
- The sectors can be rearranged to form an approximate rectangle shape. The more sectors the closer to a rectangle the shape will become.
www.bbc.co.uk/bitesize/articles/zsp37p3 - People also ask
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