Question

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

Answer 1

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