The circle below has center C
1 answer:
well, we know that the angle DCE is 100°, and since a circle has a total of 360°, angle DFE must be 260°, and we also know that its radius is 7.
![\textit{arc's length}\\\\ s=\cfrac{\pi \theta r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=7\\ \theta = 260 \end{cases}\implies \begin{array}{llll} s=\cfrac{\pi (260)(7)}{180}\implies s=\cfrac{91\pi }{9} \\\\\\ ~\hfill s\approx 31.76 \end{array}](https://tex.z-dn.net/?f=%5Ctextit%7Barc%27s%20length%7D%5C%5C%5C%5C%20s%3D%5Ccfrac%7B%5Cpi%20%5Ctheta%20r%7D%7B180%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20%5Ctheta%20%3D%5Cstackrel%7Bdegrees%7D%7Bangle%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D7%5C%5C%20%5Ctheta%20%3D%20260%20%5Cend%7Bcases%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%20s%3D%5Ccfrac%7B%5Cpi%20%28260%29%287%29%7D%7B180%7D%5Cimplies%20s%3D%5Ccfrac%7B91%5Cpi%20%7D%7B9%7D%20%5C%5C%5C%5C%5C%5C%20~%5Chfill%20s%5Capprox%2031.76%20%5Cend%7Barray%7D)
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