### Verification of the area of a circle

Area of a circle by parametric equations The proof with the aid of parametric equation is as follows:

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Showing posts from 2022

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The above simulation of the simple harmonic motion involving a pendulum shows how the potential energy, PE and kinetic energy, KE, change with the position of the pendulum, provided that the latter swings through a small angle. As you can see the total energy of the system remains the same: the loss of KE turns into PE and vice versa. In order to practise this interactively, along with a few related simulations under the SHM, please follow the link below: A comprehensive and interactive tutorial on the SHM is here .

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The following simulation, which is fully interactive, shows you how to derive the equation of a half line . A half line , by definition, is a line that stretches from a point in one direction up to infinity. You may change the position of the arbitrary point, denoted by Z, and the equation of the half-line will be automatically derived. ðŸŽ• I am immensely thankful to the GeoGebra foundation for providing the programmers with this platform to play with amazing tools to learn, share and above all, have fun - at the same time.

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With the following simulation, you can find out the equation of the locus of a point that moves in such a way that Argument(Z - z1) = Î˜. The locus of the point is a half line - a line that starts from a point and moves only in one direction from it up to infinity. You can change the position of Z - along with the argument - and find the equation of the half -line.

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With the following simulation, you can practise the moment of forces interactively. Moment of a force = force X perpendicular distance from the pivot The resultant moment or the total moment is the algebraic sum of the moments of forces. In the simulation, the clockwise moment is considered as positive. To increase the magnitude of a force, drag the end of each force/s up or down. The force that is closest to A can even be moved diagonally. Move the forces and study the way the total or resultant moment changes.

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Multiple Choice Questions in Python - for GCSE, IGCSE & A -Level - Time: 15 minutes Created and Programmed by Vivax Solutions The quiz of multiple choice questions is aimed at the students at GCSE, IGCSE, O Level and A Level in order to check their basic programming knowledge in Python. The quiz is evolving: at the beginning, there will be 20 questions, timed for 15 minutes. I will keep adding questions in due course so that aspiring users / programmers can make progress while play with them. Please watch this space! Start the Quiz Submit Quiz

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Multiple Choice Questions in C# - for GCSE, IGCSE & A -Level - Time: 15 minutes Created and Programmed by Vivax Solutions The quiz of multiple choice questions is aimed at the students at GCSE, IGCSE, O Level and A Level in order to check their basic programming knowledge in C# by Microsoft. The quiz is evolving: at the beginning, there will be 20 questions, timed for 15 minutes. I will keep adding questions in due course so that aspiring users / programmers can make progress while doing them. Please watch this space! Start the Quiz Submit Quiz