Jika luas juring AOB = 48 cm² dan luas juring OBC = 64 cm² sedangkan besar sudut AOB = 90° maka besar sudut BOC adalah...
MicoArrafi
![$\begin{align} \frac{L_{j\odot[AOB]}}{L_{j\odot[OBC]}}&=\frac{\angle AOB}{\angle BOC}\\\frac{48\ cm^2}{64\ cm^2}&=\frac{90^{\circ}}{\angle BOC}\\\angle BOC&=\frac{64\ cm^2\times90^{\circ}}{48\ cm^2}\\\angle BOC&=\boxed{120^{\circ}} \end](https://tex.z-dn.net/?f=%24%5Cbegin%7Balign%7D+%5Cfrac%7BL_%7Bj%5Codot%5BAOB%5D%7D%7D%7BL_%7Bj%5Codot%5BOBC%5D%7D%7D%26%3D%5Cfrac%7B%5Cangle+AOB%7D%7B%5Cangle+BOC%7D%5C%5C%5Cfrac%7B48%5C+cm%5E2%7D%7B64%5C+cm%5E2%7D%26%3D%5Cfrac%7B90%5E%7B%5Ccirc%7D%7D%7B%5Cangle+BOC%7D%5C%5C%5Cangle+BOC%26%3D%5Cfrac%7B64%5C+cm%5E2%5Ctimes90%5E%7B%5Ccirc%7D%7D%7B48%5C+cm%5E2%7D%5C%5C%5Cangle+BOC%26%3D%5Cboxed%7B120%5E%7B%5Ccirc%7D%7D+%5Cend "$\begin{align} \frac{L_{j\odot[AOB]}}{L_{j\odot[OBC]}}&=\frac{\angle AOB}{\angle BOC}\\\frac{48\ cm^2}{64\ cm^2}&=\frac{90^{\circ}}{\angle BOC}\\\angle BOC&=\frac{64\ cm^2\times90^{\circ}}{48\ cm^2}\\\angle BOC&=\boxed{120^{\circ}} \end")
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