角度转换为弧度示例

GeoGebra 命令及参数

1. LaTeX(steps) → counter
2. LaTeX("\text{Determine which conversion factor to use.}") → text1
3. LaTeX("\text{Set up the multiplication.}") → text4
4. LaTeX("\text{Multiply, and cancel out the degree symbols.}") → text6
5. LaTeX((("\textcolor{#000099}{\frac{" * angleDeg) * "\pi}{180}}")) → text7
6. GCD(angleDeg, 180) → gcf
7. LaTeX("\text{Use your calculator to find the measure of the angle as a decimal.}") → text10
8. LaTeX((((((("\textcolor{#000099}{\frac{" * numer) * "\pi}{") * denom) * "}\approx") * angleRad) * "}")) → text11
9. LaTeX("\text{Use the buttons below to return to the original problem or}\cr\text{randomly generate a similar practice problem.}") → text14
10. LaTeX((("\text{Convert " * angleDeg) * "° to radians.}")) → Problem
11. LaTeX((("\text{Multiply " * angleDeg) * "° by the conversion factor.}")) → text3
12. LaTeX((((("\text{Converted to radians, the decimal measure of " * angleDeg) * "° is}\cr\text{approximately ") * angleRad) * " radians.}")) → text12
13. LaTeX((((("\text{Recall that radians compare the value of the arc length to the value of}\cr\text{the radius; therefore, for this " * angleDeg) * "° angle, the arc length is approximately}\cr\text{") * angleRad) * " times the length of the radius.}")) → text13
14. LaTeX("\text{Reduce the fraction, if possible.}") → text8
15. LaTeX("\text{Recall that }\pi\text{ radians = 180°. Thus, }\frac{\pi\text{ }radians}{180°}\text{ = 1, since dividing}\cr\text{one quantity by its equivalent is equal to 1. Since degrees need to be}\cr\text{converted to radians, multiply by }\frac{\pi}{180°}\text{ so that the degrees in the}\cr\text{denominator will cancel out and radians will remain.}") → text2
16. LaTeX((((((((((("\text{The greatest common factor of }\textcolor{#000099}{" * angleDeg) * "}\text{ and }\textcolor{#000099}{180}\text{ is }\textcolor{#000099}{") * gcf) * "}\text{, so the reduced}\cr\text{form of the exact measure of }\textcolor{#000099}{") * angleDeg) * "°}\text{ in radians is }\textcolor{#000099}{\frac{") * numer) * "\pi}{") * denom) * "}}.")) → text9
17. LaTeX((("\textcolor{#000099}{" * angleDeg) * "^{\circ}\bullet\frac{\pi}{180^{\circ}}}")) → text5