Determine 8010

Determine the cone's base's radius if its shell develops into a circular section with radius "s" = 10 and center angle x = 60 °.
r = ?, o =?

Correct answer:

r =  1.6667

Step-by-step explanation:

$$\begin{gathered} s=10 \\ x=60{}^{\circ } \\ o=\frac{x}{360}\cdot 2\pi \cdot s=\frac{60}{360}\cdot 2\cdot 3.1416\cdot 10\doteq 10.472 \\ r=o/(2\pi )=10.472/(2\cdot 3.1416)=\frac{5}{3}=1\frac{2}{3}=1.6667 \end{gathered}$$

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