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If s denotes the length of the arc of a circle of radius r subtended by a central angle 0, find the missing quantity3) r6,33 centimeters, 0 - 5.3 radians, 8 = ?A) 34.5 cmB) 35,5 cmC) 33,5 cmD) 32,5 cm

User Soheilpro
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1 Answer

23 votes
23 votes

We can relate the radius (r) with the length of the arc (S) and the arc measure (θ) as:


S=\theta\cdot r\text{ (}\theta\text{ in radians)}

Then, if r=6.33 cm and θ=5.3 rad, we can find S as:


\begin{gathered} S=\theta\cdot r \\ S=5.3\cdot6.33\operatorname{cm} \\ S\approx33.5\operatorname{cm} \end{gathered}

Answer: S = 33.5 cm

User Yiannis Gkoufas
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