The circle below has center 0, and its radius is 4 mm. Given that m ZAOB = 50°, find the length of the major arc ACB.

Mathematics

1 answer:

Mrrafil [7]2 years ago

8 0

$\textit{arc's length}\\\\ s=\cfrac{r\theta \pi }{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{in~degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =50 \end{cases}\implies s=\cfrac{(4)(50)\pi }{180}\implies s=\cfrac{10\pi }{9}~mm$

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kow [346]

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And $\frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2}$ → $\sqrt{a}+\sqrt{b}=2$ --- (2)

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