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RADIAN
RADIAN
[eng: radian, рус: радиан]
84
26.02.2024 01:46
RADIAN
[en: radian, ru: радиан]
– uzınlıǵı sheńber radiusına teń bolǵan doǵaǵa (sheńber doǵasına) sáykes keliwshi oraylıq múyesh: $1$ $\text{rad}=\dfrac{360^{\circ}}{2\pi}\approx 57^{\circ}17^{\prime}44,8^{\prime\prime}.$ Múyeshtiń (doǵanıń) graduslıq hám radianlıq ólshemleri arasında $\dfrac{180^{\circ}}{\pi}=\dfrac{n^{\circ}}{\alpha}$ ǵarezligi bar, bunda $\alpha$ - múyeshtiń radianlıq ólshemi, $n^{\circ}$ - sol múyeshtiń graduslıq ólshemi. Bunnan $$n^{\circ}=\frac{\alpha\cdot 180^{\circ}}{\pi}; \ \alpha=\frac{\pi\cdot n^{\circ}}{180^{\circ}}.$$ Mısalı, $30^{\circ},$ $45^{\circ},$ $60^{\circ},$ $90^{\circ},$ $180^{\circ}$ múyeshlerge $\displaystyle\frac{\pi}{6},$ $\displaystyle\frac{\pi}{4},$ $\displaystyle\frac{\pi}{3},$ $\displaystyle\frac{\pi}{2},$ $\pi$ radianlıq múyeshler sáykes keledi. Latınsha ``radius'' - ``dóńgelektiń kegeyi'', ``nur'' degendi ańlatadı.