If the perimeter of the sector shown in the figure is 18, with radius 4. What is the angle of the sector in radians?
If the perimeter of the sector shown in the figure is 18, with radius 4. What is the angle of the sector in radians?
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\(P= r\cdot \alpha+2r\\ 18=4\cdot \alpha+8\\ 4\alpha=10\\\color{blue}\alpha=2.5\\ \alpha=2.5\times\frac{\pi}{3.1415926}\)
\(\alpha\approx 0.79577\cdot \pi\)
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