MRK Studio
| | Dark Calculator | |
| Converters | Constants | Calculator | Analytical Geometry |
| Circle | Vectors | Straight Line | Parabola | Ellipse | Hyperbola |
| Coordinate Geometry [Triangle] | Coordinate Geometry [Quadrilateral] |
Operations:
| menu OPERATIONS: ×
In case of inputting square roots, press the square root button and activate it. To insert fractions, insert it converting into decimals. For example, \(\frac{3}{4}\) is to be inputted as \(0.75\). But the output will be in decimals. Again, for working with more irrational numbers like \(2+\sqrt3\), you must input it in decimal form using full-stop \((.)\) as the decimal point. A circle passing through the origin must satisfy the condition $$c=0$$ A circle passing through the origin touching the X-axis must have it's center on the Y-axis, in the format of: $$(0,r)$$ where r is the radius of the circle. Input the radius of the circle: |
A circle passing through the origin has its parameter \(c=0\). Alongside, it may be centered on X axis, or the Y axis, or it might be arbitrary. Being centered on X-axis and touching the origin actually refers to touching the Y axis, leading to $$f^2-c=0\Rightarrow f^2=c.$$ On the contrary, being centered on Y-axis and touching the origin actually refers to touching the X-axis, leading to $$g^2-c=0\Rightarrow g^2=c.$$ Finally, a circle having center \((g,f)\) usually, have the equation: $$(x-g)^2+(y-f)^2=g^2+f^2$$
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