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If the perimeter of the sector shown in the figure is 18, with radius 4. What is the angle of the sector in radians?

Jun 22, 2020

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If the perimeter of the sector shown in the figure is 18, with radius 4. What is the angle of the sector in radians?

Hello Guest!

$$P= r\cdot \alpha+2r\\ 18=4\cdot \alpha+8\\ 4\alpha=10\\\color{blue}\alpha=2.5\\ \alpha=2.5\times\frac{\pi}{3.1415926}$$

$$\alpha\approx 0.79577\cdot \pi$$

!

Jun 22, 2020
edited by asinus  Jun 22, 2020