Geometric construction of RMS current for a sinusoidal waveform

This example demonstrates how to construct the root-mean-squared (RMS) current Irms from a sinusoidal current waveform and visualize what RMS means in an intuitive geometric way. The key math concepts include sinusoidal functions, angular frequency and period (omega and T), the RMS definition (square, average over a period, then take the square root), and the relationship to inequality/means ideas (connected to geometric-mean style intuition). Construction-wise, the GeoGebra setup uses objects such as omega, T, I_O, a time variable t, the function f (the sinusoidal current), and the computed value Irms. Auxiliary quantities (e.g., c, d, e, p, h, a, b, c_1) support drawing the equivalent “RMS level” and marking cycle segmentation or geometric proxies for the averaging process, while text1 labels the main result. Suitable for advanced high-school through early university learners, especially for lessons on graphing trigonometric functions, modeling simple AC signals, and introducing RMS as a standard engineering/statistical quantity.