Sebuah lingkaran berpusat dititik O,titik-titik A dan B terletak pada lingkaran.
Jika luas juring AOB = 62,8 cm kubik dan panjang jari jari nya 10 cm maka besar sudut AOB adalah...
Jika luas juring AOB = 62,8 cm kubik dan panjang jari jari nya 10 cm maka besar sudut AOB adalah...
MicoArrafi
![$\begin{align} \angle AOB&=\frac{L_{j[AOB]}\times360^{\circ}}{\pi\times r^2}\\&=\frac{62,8\ cm^3\times360^{\circ}}{3,14\times(10\ cm)^2}\\&=\frac{22.608^{\circ}\ cm^2}{314\ cm^2}\\&=\boxed{72^{\circ}} \end](https://tex.z-dn.net/?f=%24%5Cbegin%7Balign%7D+%5Cangle+AOB%26%3D%5Cfrac%7BL_%7Bj%5BAOB%5D%7D%5Ctimes360%5E%7B%5Ccirc%7D%7D%7B%5Cpi%5Ctimes+r%5E2%7D%5C%5C%26%3D%5Cfrac%7B62%2C8%5C+cm%5E3%5Ctimes360%5E%7B%5Ccirc%7D%7D%7B3%2C14%5Ctimes%2810%5C+cm%29%5E2%7D%5C%5C%26%3D%5Cfrac%7B22.608%5E%7B%5Ccirc%7D%5C+cm%5E2%7D%7B314%5C+cm%5E2%7D%5C%5C%26%3D%5Cboxed%7B72%5E%7B%5Ccirc%7D%7D+%5Cend "$\begin{align} \angle AOB&=\frac{L_{j[AOB]}\times360^{\circ}}{\pi\times r^2}\\&=\frac{62,8\ cm^3\times360^{\circ}}{3,14\times(10\ cm)^2}\\&=\frac{22.608^{\circ}\ cm^2}{314\ cm^2}\\&=\boxed{72^{\circ}} \end")
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