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how it works
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Yasser Zamani
Yasser Zamani
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$$INPUT \rightarrow P_1(x_1, y_1), P_2(x_2,y_2), r$$ How it works $$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$$ $$h=\sqrt{r^2-(\frac{d}2)^2}$$ $$\alpha=arcsin(\frac{y_1-y_2}{d})$$ $$x_c=\frac{x_1+x_2}2+h sin(\alpha)$$ $$y_c=\frac{y_1+y_2}2+h cos(\alpha)$$

$$INPUT \rightarrow P_1(x_1, y_1), P_2(x_2,y_2), r$$ $$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$$ $$h=\sqrt{r^2-(\frac{d}2)^2}$$ $$\alpha=arcsin(\frac{y_1-y_2}{d})$$ $$x_c=\frac{x_1+x_2}2+h sin(\alpha)$$ $$y_c=\frac{y_1+y_2}2+h cos(\alpha)$$

$$INPUT \rightarrow P_1(x_1, y_1), P_2(x_2,y_2), r$$ How it works $$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$$ $$h=\sqrt{r^2-(\frac{d}2)^2}$$ $$\alpha=arcsin(\frac{y_1-y_2}{d})$$ $$x_c=\frac{x_1+x_2}2+h sin(\alpha)$$ $$y_c=\frac{y_1+y_2}2+h cos(\alpha)$$

Source Link
Yasser Zamani
Yasser Zamani
  • 134
  • 3

$$INPUT \rightarrow P_1(x_1, y_1), P_2(x_2,y_2), r$$ $$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$$ $$h=\sqrt{r^2-(\frac{d}2)^2}$$ $$\alpha=arcsin(\frac{y_1-y_2}{d})$$ $$x_c=\frac{x_1+x_2}2+h sin(\alpha)$$ $$y_c=\frac{y_1+y_2}2+h cos(\alpha)$$