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Question Number 108107 by otchereabdullai@gmail.com last updated on 14/Aug/20

Commented by rexfordattacudjoe last updated on 16/Aug/20

$$Bysimilarities,\frac{r}{24}=\frac{10}{20}$$$$r=\frac{10\times 24}{20}$$$$r=12cm$$

Commented by rexfordattacudjoe last updated on 16/Aug/20

$$lengthofanarc=\frac{\theta }{360}\times 2\mathrm{\Pi }r$$$$20=\frac{\theta }{360}\times 2\left(\frac{22}{7}\right)\left(24\right)$$$$50400=1056\theta$$$$\theta =47.7°$$

Answered by JDamian last updated on 14/Aug/20

$$\left(a\right)$$$$20=24\cdot \theta \Rightarrow \theta =\frac{5}{6}rad$$$$10=r\cdot \theta \Rightarrow r=\frac{10}{\theta }=\frac{10}{\frac{5}{6}}=12cm.$$$$\left(b\right)20+10+2\cdot (24-12)=54cm.$$$$$$$$\left(c\right)from\left(a\right):\theta =\frac{5}{6}rad=$$$$=\frac{5}{6}\times \frac{180}{\pi }=\frac{150}{\pi }\approx 47.75°$$

Commented by otchereabdullai@gmail.com last updated on 15/Aug/20

$$\mathrm{thank}\mathrm{you}\mathrm{sir}$$

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